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Finding the Third Proportional to 118,524 and 260,229

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Solution

The third proportional to 118,524 and 260,229 is: 571,353.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,524 : 260,229 = 260,229 : x
  2. Step 2: Convert to fraction form
    118,524/260,229 = 260,229/x
  3. Step 3: Cross multiply
    118,524x = 260,229 × 260,229
  4. Step 4: Simplify right side
    118,524x = 67,719,132,441
  5. Step 5: Solve for x
    x = 67,719,132,441/118,524
  6. Step 6: Final answer
    x = 571,353.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.