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Finding the Third Proportional to 137,736.28 and 289,414.69

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Solution

The third proportional to 137,736.28 and 289,414.69 is: 608,124.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,736.28 : 289,414.69 = 289,414.69 : x
  2. Step 2: Convert to fraction form
    137,736.28/289,414.69 = 289,414.69/x
  3. Step 3: Cross multiply
    137,736.28x = 289,414.69 × 289,414.69
  4. Step 4: Simplify right side
    137,736.28x = 83,760,861,340.72
  5. Step 5: Solve for x
    x = 83,760,861,340.72/137,736.28
  6. Step 6: Final answer
    x = 608,124.89

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.