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Finding the Third Proportional to 171,813 and 252,567

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Solution

The third proportional to 171,813 and 252,567 is: 371,276.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,813 : 252,567 = 252,567 : x
  2. Step 2: Convert to fraction form
    171,813/252,567 = 252,567/x
  3. Step 3: Cross multiply
    171,813x = 252,567 × 252,567
  4. Step 4: Simplify right side
    171,813x = 63,790,089,489
  5. Step 5: Solve for x
    x = 63,790,089,489/171,813
  6. Step 6: Final answer
    x = 371,276.27

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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.