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Finding the Third Proportional to 162,092.25 and 260,437.13

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Solution

The third proportional to 162,092.25 and 260,437.13 is: 418,449.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,092.25 : 260,437.13 = 260,437.13 : x
  2. Step 2: Convert to fraction form
    162,092.25/260,437.13 = 260,437.13/x
  3. Step 3: Cross multiply
    162,092.25x = 260,437.13 × 260,437.13
  4. Step 4: Simplify right side
    162,092.25x = 67,827,496,078.27
  5. Step 5: Solve for x
    x = 67,827,496,078.27/162,092.25
  6. Step 6: Final answer
    x = 418,449.96

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.