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Finding the Third Proportional to 160,866 and 317,690

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Solution

The third proportional to 160,866 and 317,690 is: 627,397.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,866 : 317,690 = 317,690 : x
  2. Step 2: Convert to fraction form
    160,866/317,690 = 317,690/x
  3. Step 3: Cross multiply
    160,866x = 317,690 × 317,690
  4. Step 4: Simplify right side
    160,866x = 100,926,936,100
  5. Step 5: Solve for x
    x = 100,926,936,100/160,866
  6. Step 6: Final answer
    x = 627,397.56

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.