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Finding the Third Proportional to 82,232.72 and 180,170.58

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Solution

The third proportional to 82,232.72 and 180,170.58 is: 394,750.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,232.72 : 180,170.58 = 180,170.58 : x
  2. Step 2: Convert to fraction form
    82,232.72/180,170.58 = 180,170.58/x
  3. Step 3: Cross multiply
    82,232.72x = 180,170.58 × 180,170.58
  4. Step 4: Simplify right side
    82,232.72x = 32,461,437,221.90
  5. Step 5: Solve for x
    x = 32,461,437,221.90/82,232.72
  6. Step 6: Final answer
    x = 394,750.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.