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Finding the Third Proportional to 255,862,134 and 374,197,716

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Solution

The third proportional to 255,862,134 and 374,197,716 is: 547,263,201.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,862,134 : 374,197,716 = 374,197,716 : x
  2. Step 2: Convert to fraction form
    255,862,134/374,197,716 = 374,197,716/x
  3. Step 3: Cross multiply
    255,862,134x = 374,197,716 × 374,197,716
  4. Step 4: Simplify right side
    255,862,134x = 140,023,930,659,616,656
  5. Step 5: Solve for x
    x = 140,023,930,659,616,656/255,862,134
  6. Step 6: Final answer
    x = 547,263,201.75

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.