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Finding the Third Proportional to 182,850.75 and 291,988.13

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Solution

The third proportional to 182,850.75 and 291,988.13 is: 466,265.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,850.75 : 291,988.13 = 291,988.13 : x
  2. Step 2: Convert to fraction form
    182,850.75/291,988.13 = 291,988.13/x
  3. Step 3: Cross multiply
    182,850.75x = 291,988.13 × 291,988.13
  4. Step 4: Simplify right side
    182,850.75x = 85,257,065,141.02
  5. Step 5: Solve for x
    x = 85,257,065,141.02/182,850.75
  6. Step 6: Final answer
    x = 466,265.88

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These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.