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Finding the Third Proportional to 118,379 and 260,086

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Solution

The third proportional to 118,379 and 260,086 is: 571,425.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,379 : 260,086 = 260,086 : x
  2. Step 2: Convert to fraction form
    118,379/260,086 = 260,086/x
  3. Step 3: Cross multiply
    118,379x = 260,086 × 260,086
  4. Step 4: Simplify right side
    118,379x = 67,644,727,396
  5. Step 5: Solve for x
    x = 67,644,727,396/118,379
  6. Step 6: Final answer
    x = 571,425.06

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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.