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Finding the Third Proportional to 171,775 and 252,526

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Solution

The third proportional to 171,775 and 252,526 is: 371,237.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,775 : 252,526 = 252,526 : x
  2. Step 2: Convert to fraction form
    171,775/252,526 = 252,526/x
  3. Step 3: Cross multiply
    171,775x = 252,526 × 252,526
  4. Step 4: Simplify right side
    171,775x = 63,769,380,676
  5. Step 5: Solve for x
    x = 63,769,380,676/171,775
  6. Step 6: Final answer
    x = 371,237.84

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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.