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Finding the Third Proportional to 182,989.13 and 281,773.69

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Solution

The third proportional to 182,989.13 and 281,773.69 is: 433,885.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,989.13 : 281,773.69 = 281,773.69 : x
  2. Step 2: Convert to fraction form
    182,989.13/281,773.69 = 281,773.69/x
  3. Step 3: Cross multiply
    182,989.13x = 281,773.69 × 281,773.69
  4. Step 4: Simplify right side
    182,989.13x = 79,396,410,967.35
  5. Step 5: Solve for x
    x = 79,396,410,967.35/182,989.13
  6. Step 6: Final answer
    x = 433,885.95

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.