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Finding the Third Proportional to 170,762 and 250,599

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Solution

The third proportional to 170,762 and 250,599 is: 367,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,762 : 250,599 = 250,599 : x
  2. Step 2: Convert to fraction form
    170,762/250,599 = 250,599/x
  3. Step 3: Cross multiply
    170,762x = 250,599 × 250,599
  4. Step 4: Simplify right side
    170,762x = 62,799,858,801
  5. Step 5: Solve for x
    x = 62,799,858,801/170,762
  6. Step 6: Final answer
    x = 367,762.49

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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.