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Finding the Third Proportional to 182,695.50 and 398,591.25

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Solution

The third proportional to 182,695.50 and 398,591.25 is: 869,616.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,695.50 : 398,591.25 = 398,591.25 : x
  2. Step 2: Convert to fraction form
    182,695.50/398,591.25 = 398,591.25/x
  3. Step 3: Cross multiply
    182,695.50x = 398,591.25 × 398,591.25
  4. Step 4: Simplify right side
    182,695.50x = 158,874,984,576.56
  5. Step 5: Solve for x
    x = 158,874,984,576.56/182,695.50
  6. Step 6: Final answer
    x = 869,616.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.