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Finding the Third Proportional to 154,438.52 and 283,248.14

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Solution

The third proportional to 154,438.52 and 283,248.14 is: 519,491.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,438.52 : 283,248.14 = 283,248.14 : x
  2. Step 2: Convert to fraction form
    154,438.52/283,248.14 = 283,248.14/x
  3. Step 3: Cross multiply
    154,438.52x = 283,248.14 × 283,248.14
  4. Step 4: Simplify right side
    154,438.52x = 80,229,509,167.52
  5. Step 5: Solve for x
    x = 80,229,509,167.52/154,438.52
  6. Step 6: Final answer
    x = 519,491.56

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.