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Finding the Third Proportional to 82,396.13 and 171,352.13

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Solution

The third proportional to 82,396.13 and 171,352.13 is: 356,346.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,396.13 : 171,352.13 = 171,352.13 : x
  2. Step 2: Convert to fraction form
    82,396.13/171,352.13 = 171,352.13/x
  3. Step 3: Cross multiply
    82,396.13x = 171,352.13 × 171,352.13
  4. Step 4: Simplify right side
    82,396.13x = 29,361,550,742.02
  5. Step 5: Solve for x
    x = 29,361,550,742.02/82,396.13
  6. Step 6: Final answer
    x = 356,346.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.