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Finding the Third Proportional to 76,788.75 and 168,340.13

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Solution

The third proportional to 76,788.75 and 168,340.13 is: 369,043.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,788.75 : 168,340.13 = 168,340.13 : x
  2. Step 2: Convert to fraction form
    76,788.75/168,340.13 = 168,340.13/x
  3. Step 3: Cross multiply
    76,788.75x = 168,340.13 × 168,340.13
  4. Step 4: Simplify right side
    76,788.75x = 28,338,397,685.02
  5. Step 5: Solve for x
    x = 28,338,397,685.02/76,788.75
  6. Step 6: Final answer
    x = 369,043.61

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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.