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Finding the Third Proportional to 131,149.13 and 286,902

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Solution

The third proportional to 131,149.13 and 286,902 is: 627,627.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,149.13 : 286,902 = 286,902 : x
  2. Step 2: Convert to fraction form
    131,149.13/286,902 = 286,902/x
  3. Step 3: Cross multiply
    131,149.13x = 286,902 × 286,902
  4. Step 4: Simplify right side
    131,149.13x = 82,312,757,604
  5. Step 5: Solve for x
    x = 82,312,757,604/131,149.13
  6. Step 6: Final answer
    x = 627,627.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.