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Finding the Third Proportional to 123,208.59 and 250,882.31

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Solution

The third proportional to 123,208.59 and 250,882.31 is: 510,856.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,208.59 : 250,882.31 = 250,882.31 : x
  2. Step 2: Convert to fraction form
    123,208.59/250,882.31 = 250,882.31/x
  3. Step 3: Cross multiply
    123,208.59x = 250,882.31 × 250,882.31
  4. Step 4: Simplify right side
    123,208.59x = 62,941,934,725.35
  5. Step 5: Solve for x
    x = 62,941,934,725.35/123,208.59
  6. Step 6: Final answer
    x = 510,856.69

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.