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Finding the Third Proportional to 128,646 and 278,757

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Solution

The third proportional to 128,646 and 278,757 is: 604,025.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,646 : 278,757 = 278,757 : x
  2. Step 2: Convert to fraction form
    128,646/278,757 = 278,757/x
  3. Step 3: Cross multiply
    128,646x = 278,757 × 278,757
  4. Step 4: Simplify right side
    128,646x = 77,705,465,049
  5. Step 5: Solve for x
    x = 77,705,465,049/128,646
  6. Step 6: Final answer
    x = 604,025.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.