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Finding the Third Proportional to 171,722 and 252,610

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Solution

The third proportional to 171,722 and 252,610 is: 371,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,722 : 252,610 = 252,610 : x
  2. Step 2: Convert to fraction form
    171,722/252,610 = 252,610/x
  3. Step 3: Cross multiply
    171,722x = 252,610 × 252,610
  4. Step 4: Simplify right side
    171,722x = 63,811,812,100
  5. Step 5: Solve for x
    x = 63,811,812,100/171,722
  6. Step 6: Final answer
    x = 371,599.52

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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.