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Finding the Third Proportional to 138,403.69 and 300,818.81

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Solution

The third proportional to 138,403.69 and 300,818.81 is: 653,826.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,403.69 : 300,818.81 = 300,818.81 : x
  2. Step 2: Convert to fraction form
    138,403.69/300,818.81 = 300,818.81/x
  3. Step 3: Cross multiply
    138,403.69x = 300,818.81 × 300,818.81
  4. Step 4: Simplify right side
    138,403.69x = 90,491,957,953.91
  5. Step 5: Solve for x
    x = 90,491,957,953.91/138,403.69
  6. Step 6: Final answer
    x = 653,826.21

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.