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Finding the Third Proportional to 118,403 and 260,134

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Solution

The third proportional to 118,403 and 260,134 is: 571,520.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,403 : 260,134 = 260,134 : x
  2. Step 2: Convert to fraction form
    118,403/260,134 = 260,134/x
  3. Step 3: Cross multiply
    118,403x = 260,134 × 260,134
  4. Step 4: Simplify right side
    118,403x = 67,669,697,956
  5. Step 5: Solve for x
    x = 67,669,697,956/118,403
  6. Step 6: Final answer
    x = 571,520.13

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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.