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Finding the Third Proportional to 162,091.13 and 260,437.78

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Solution

The third proportional to 162,091.13 and 260,437.78 is: 418,454.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,091.13 : 260,437.78 = 260,437.78 : x
  2. Step 2: Convert to fraction form
    162,091.13/260,437.78 = 260,437.78/x
  3. Step 3: Cross multiply
    162,091.13x = 260,437.78 × 260,437.78
  4. Step 4: Simplify right side
    162,091.13x = 67,827,837,902.42
  5. Step 5: Solve for x
    x = 67,827,837,902.42/162,091.13
  6. Step 6: Final answer
    x = 418,454.98

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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.