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Finding the Third Proportional to 171,745 and 252,642

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Solution

The third proportional to 171,745 and 252,642 is: 371,643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,745 : 252,642 = 252,642 : x
  2. Step 2: Convert to fraction form
    171,745/252,642 = 252,642/x
  3. Step 3: Cross multiply
    171,745x = 252,642 × 252,642
  4. Step 4: Simplify right side
    171,745x = 63,827,980,164
  5. Step 5: Solve for x
    x = 63,827,980,164/171,745
  6. Step 6: Final answer
    x = 371,643.89

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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.