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Finding the Third Proportional to 181,658.25 and 283,524

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Solution

The third proportional to 181,658.25 and 283,524 is: 442,511.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,658.25 : 283,524 = 283,524 : x
  2. Step 2: Convert to fraction form
    181,658.25/283,524 = 283,524/x
  3. Step 3: Cross multiply
    181,658.25x = 283,524 × 283,524
  4. Step 4: Simplify right side
    181,658.25x = 80,385,858,576
  5. Step 5: Solve for x
    x = 80,385,858,576/181,658.25
  6. Step 6: Final answer
    x = 442,511.47

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.