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Finding the Third Proportional to 123,224.63 and 252,277.88

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Solution

The third proportional to 123,224.63 and 252,277.88 is: 516,488.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,224.63 : 252,277.88 = 252,277.88 : x
  2. Step 2: Convert to fraction form
    123,224.63/252,277.88 = 252,277.88/x
  3. Step 3: Cross multiply
    123,224.63x = 252,277.88 × 252,277.88
  4. Step 4: Simplify right side
    123,224.63x = 63,644,126,214.52
  5. Step 5: Solve for x
    x = 63,644,126,214.52/123,224.63
  6. Step 6: Final answer
    x = 516,488.70

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.