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Finding the Third Proportional to 279,942.75 and 425,098.13

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Solution

The third proportional to 279,942.75 and 425,098.13 is: 645,519.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,942.75 : 425,098.13 = 425,098.13 : x
  2. Step 2: Convert to fraction form
    279,942.75/425,098.13 = 425,098.13/x
  3. Step 3: Cross multiply
    279,942.75x = 425,098.13 × 425,098.13
  4. Step 4: Simplify right side
    279,942.75x = 180,708,415,878.52
  5. Step 5: Solve for x
    x = 180,708,415,878.52/279,942.75
  6. Step 6: Final answer
    x = 645,519.19

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.