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Finding the Third Proportional to 171,748 and 252,647

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Solution

The third proportional to 171,748 and 252,647 is: 371,652.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,748 : 252,647 = 252,647 : x
  2. Step 2: Convert to fraction form
    171,748/252,647 = 252,647/x
  3. Step 3: Cross multiply
    171,748x = 252,647 × 252,647
  4. Step 4: Simplify right side
    171,748x = 63,830,506,609
  5. Step 5: Solve for x
    x = 63,830,506,609/171,748
  6. Step 6: Final answer
    x = 371,652.11

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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.