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Finding the Third Proportional to 83,340.75 and 179,712.75

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Solution

The third proportional to 83,340.75 and 179,712.75 is: 387,525.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,340.75 : 179,712.75 = 179,712.75 : x
  2. Step 2: Convert to fraction form
    83,340.75/179,712.75 = 179,712.75/x
  3. Step 3: Cross multiply
    83,340.75x = 179,712.75 × 179,712.75
  4. Step 4: Simplify right side
    83,340.75x = 32,296,672,512.56
  5. Step 5: Solve for x
    x = 32,296,672,512.56/83,340.75
  6. Step 6: Final answer
    x = 387,525.58

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.