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Finding the Third Proportional to 123,633.84 and 261,722.39

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Solution

The third proportional to 123,633.84 and 261,722.39 is: 554,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,633.84 : 261,722.39 = 261,722.39 : x
  2. Step 2: Convert to fraction form
    123,633.84/261,722.39 = 261,722.39/x
  3. Step 3: Cross multiply
    123,633.84x = 261,722.39 × 261,722.39
  4. Step 4: Simplify right side
    123,633.84x = 68,498,609,754.47
  5. Step 5: Solve for x
    x = 68,498,609,754.47/123,633.84
  6. Step 6: Final answer
    x = 554,044.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.