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Finding the Third Proportional to 82,235.25 and 177,160.50

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Solution

The third proportional to 82,235.25 and 177,160.50 is: 381,659.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,235.25 : 177,160.50 = 177,160.50 : x
  2. Step 2: Convert to fraction form
    82,235.25/177,160.50 = 177,160.50/x
  3. Step 3: Cross multiply
    82,235.25x = 177,160.50 × 177,160.50
  4. Step 4: Simplify right side
    82,235.25x = 31,385,842,760.25
  5. Step 5: Solve for x
    x = 31,385,842,760.25/82,235.25
  6. Step 6: Final answer
    x = 381,659.24

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.