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Finding the Third Proportional to 201,914 and 313,531

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Solution

The third proportional to 201,914 and 313,531 is: 486,849.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,914 : 313,531 = 313,531 : x
  2. Step 2: Convert to fraction form
    201,914/313,531 = 313,531/x
  3. Step 3: Cross multiply
    201,914x = 313,531 × 313,531
  4. Step 4: Simplify right side
    201,914x = 98,301,687,961
  5. Step 5: Solve for x
    x = 98,301,687,961/201,914
  6. Step 6: Final answer
    x = 486,849.29

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.