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Finding the Third Proportional to 180,732.52 and 396,927.84

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Solution

The third proportional to 180,732.52 and 396,927.84 is: 871,739.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,732.52 : 396,927.84 = 396,927.84 : x
  2. Step 2: Convert to fraction form
    180,732.52/396,927.84 = 396,927.84/x
  3. Step 3: Cross multiply
    180,732.52x = 396,927.84 × 396,927.84
  4. Step 4: Simplify right side
    180,732.52x = 157,551,713,144.02
  5. Step 5: Solve for x
    x = 157,551,713,144.02/180,732.52
  6. Step 6: Final answer
    x = 871,739.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.