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Finding the Third Proportional to 255,092 and 374,844

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Solution

The third proportional to 255,092 and 374,844 is: 550,813.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,092 : 374,844 = 374,844 : x
  2. Step 2: Convert to fraction form
    255,092/374,844 = 374,844/x
  3. Step 3: Cross multiply
    255,092x = 374,844 × 374,844
  4. Step 4: Simplify right side
    255,092x = 140,508,024,336
  5. Step 5: Solve for x
    x = 140,508,024,336/255,092
  6. Step 6: Final answer
    x = 550,813.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.