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Finding the Third Proportional to 82,832.63 and 180,731.25

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Solution

The third proportional to 82,832.63 and 180,731.25 is: 394,334.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,832.63 : 180,731.25 = 180,731.25 : x
  2. Step 2: Convert to fraction form
    82,832.63/180,731.25 = 180,731.25/x
  3. Step 3: Cross multiply
    82,832.63x = 180,731.25 × 180,731.25
  4. Step 4: Simplify right side
    82,832.63x = 32,663,784,726.56
  5. Step 5: Solve for x
    x = 32,663,784,726.56/82,832.63
  6. Step 6: Final answer
    x = 394,334.78

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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.