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Finding the Third Proportional to 134,464 and 180,744

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Solution

The third proportional to 134,464 and 180,744 is: 242,952.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,464 : 180,744 = 180,744 : x
  2. Step 2: Convert to fraction form
    134,464/180,744 = 180,744/x
  3. Step 3: Cross multiply
    134,464x = 180,744 × 180,744
  4. Step 4: Simplify right side
    134,464x = 32,668,393,536
  5. Step 5: Solve for x
    x = 32,668,393,536/134,464
  6. Step 6: Final answer
    x = 242,952.71

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.