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Finding the Third Proportional to 84,584 and 183,744

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Solution

The third proportional to 84,584 and 183,744 is: 399,151.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,584 : 183,744 = 183,744 : x
  2. Step 2: Convert to fraction form
    84,584/183,744 = 183,744/x
  3. Step 3: Cross multiply
    84,584x = 183,744 × 183,744
  4. Step 4: Simplify right side
    84,584x = 33,761,857,536
  5. Step 5: Solve for x
    x = 33,761,857,536/84,584
  6. Step 6: Final answer
    x = 399,151.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.