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Finding the Third Proportional to 126,390.38 and 267,041.81

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Solution

The third proportional to 126,390.38 and 267,041.81 is: 564,214.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,390.38 : 267,041.81 = 267,041.81 : x
  2. Step 2: Convert to fraction form
    126,390.38/267,041.81 = 267,041.81/x
  3. Step 3: Cross multiply
    126,390.38x = 267,041.81 × 267,041.81
  4. Step 4: Simplify right side
    126,390.38x = 71,311,329,623.29
  5. Step 5: Solve for x
    x = 71,311,329,623.29/126,390.38
  6. Step 6: Final answer
    x = 564,214.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.