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Finding the Third Proportional to 162,102.38 and 260,452.13

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Solution

The third proportional to 162,102.38 and 260,452.13 is: 418,472.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    162,102.38 : 260,452.13 = 260,452.13 : x
  2. Step 2: Convert to fraction form
    162,102.38/260,452.13 = 260,452.13/x
  3. Step 3: Cross multiply
    162,102.38x = 260,452.13 × 260,452.13
  4. Step 4: Simplify right side
    162,102.38x = 67,835,309,417.02
  5. Step 5: Solve for x
    x = 67,835,309,417.02/162,102.38
  6. Step 6: Final answer
    x = 418,472.03

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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.