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Finding the Third Proportional to 182,432.25 and 272,919.38

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Solution

The third proportional to 182,432.25 and 272,919.38 is: 408,288.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,432.25 : 272,919.38 = 272,919.38 : x
  2. Step 2: Convert to fraction form
    182,432.25/272,919.38 = 272,919.38/x
  3. Step 3: Cross multiply
    182,432.25x = 272,919.38 × 272,919.38
  4. Step 4: Simplify right side
    182,432.25x = 74,484,985,250.39
  5. Step 5: Solve for x
    x = 74,484,985,250.39/182,432.25
  6. Step 6: Final answer
    x = 408,288.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.