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Finding the Third Proportional to 82,233.75 and 180,171.75

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Solution

The third proportional to 82,233.75 and 180,171.75 is: 394,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,233.75 : 180,171.75 = 180,171.75 : x
  2. Step 2: Convert to fraction form
    82,233.75/180,171.75 = 180,171.75/x
  3. Step 3: Cross multiply
    82,233.75x = 180,171.75 × 180,171.75
  4. Step 4: Simplify right side
    82,233.75x = 32,461,859,498.06
  5. Step 5: Solve for x
    x = 32,461,859,498.06/82,233.75
  6. Step 6: Final answer
    x = 394,751.05

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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.