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Finding the Third Proportional to 82,258.25 and 177,000.75

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Solution

The third proportional to 82,258.25 and 177,000.75 is: 380,864.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,258.25 : 177,000.75 = 177,000.75 : x
  2. Step 2: Convert to fraction form
    82,258.25/177,000.75 = 177,000.75/x
  3. Step 3: Cross multiply
    82,258.25x = 177,000.75 × 177,000.75
  4. Step 4: Simplify right side
    82,258.25x = 31,329,265,500.56
  5. Step 5: Solve for x
    x = 31,329,265,500.56/82,258.25
  6. Step 6: Final answer
    x = 380,864.72

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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.