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Finding the Third Proportional to 171,738 and 252,636

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Solution

The third proportional to 171,738 and 252,636 is: 371,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,738 : 252,636 = 252,636 : x
  2. Step 2: Convert to fraction form
    171,738/252,636 = 252,636/x
  3. Step 3: Cross multiply
    171,738x = 252,636 × 252,636
  4. Step 4: Simplify right side
    171,738x = 63,824,948,496
  5. Step 5: Solve for x
    x = 63,824,948,496/171,738
  6. Step 6: Final answer
    x = 371,641.39

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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.