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Finding the Third Proportional to 80,226.38 and 171,838.13

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Solution

The third proportional to 80,226.38 and 171,838.13 is: 368,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,226.38 : 171,838.13 = 171,838.13 : x
  2. Step 2: Convert to fraction form
    80,226.38/171,838.13 = 171,838.13/x
  3. Step 3: Cross multiply
    80,226.38x = 171,838.13 × 171,838.13
  4. Step 4: Simplify right side
    80,226.38x = 29,528,341,203.52
  5. Step 5: Solve for x
    x = 29,528,341,203.52/80,226.38
  6. Step 6: Final answer
    x = 368,062.76

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.