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Finding the Third Proportional to 83,464 and 182,744

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Solution

The third proportional to 83,464 and 182,744 is: 400,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,464 : 182,744 = 182,744 : x
  2. Step 2: Convert to fraction form
    83,464/182,744 = 182,744/x
  3. Step 3: Cross multiply
    83,464x = 182,744 × 182,744
  4. Step 4: Simplify right side
    83,464x = 33,395,369,536
  5. Step 5: Solve for x
    x = 33,395,369,536/83,464
  6. Step 6: Final answer
    x = 400,117.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.