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Finding the Third Proportional to 170,776 and 251,744

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Solution

The third proportional to 170,776 and 251,744 is: 371,100.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,776 : 251,744 = 251,744 : x
  2. Step 2: Convert to fraction form
    170,776/251,744 = 251,744/x
  3. Step 3: Cross multiply
    170,776x = 251,744 × 251,744
  4. Step 4: Simplify right side
    170,776x = 63,375,041,536
  5. Step 5: Solve for x
    x = 63,375,041,536/170,776
  6. Step 6: Final answer
    x = 371,100.40

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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.