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Finding the Third Proportional to 167,720 and 253,744

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Solution

The third proportional to 167,720 and 253,744 is: 383,889.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,720 : 253,744 = 253,744 : x
  2. Step 2: Convert to fraction form
    167,720/253,744 = 253,744/x
  3. Step 3: Cross multiply
    167,720x = 253,744 × 253,744
  4. Step 4: Simplify right side
    167,720x = 64,386,017,536
  5. Step 5: Solve for x
    x = 64,386,017,536/167,720
  6. Step 6: Final answer
    x = 383,889.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.