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Finding the Third Proportional to 111,691.50 and 226,623

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Solution

The third proportional to 111,691.50 and 226,623 is: 459,819.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,691.50 : 226,623 = 226,623 : x
  2. Step 2: Convert to fraction form
    111,691.50/226,623 = 226,623/x
  3. Step 3: Cross multiply
    111,691.50x = 226,623 × 226,623
  4. Step 4: Simplify right side
    111,691.50x = 51,357,984,129
  5. Step 5: Solve for x
    x = 51,357,984,129/111,691.50
  6. Step 6: Final answer
    x = 459,819.99

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.