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Finding the Third Proportional to 135,730.69 and 296,794.13

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Solution

The third proportional to 135,730.69 and 296,794.13 is: 648,981.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,730.69 : 296,794.13 = 296,794.13 : x
  2. Step 2: Convert to fraction form
    135,730.69/296,794.13 = 296,794.13/x
  3. Step 3: Cross multiply
    135,730.69x = 296,794.13 × 296,794.13
  4. Step 4: Simplify right side
    135,730.69x = 88,086,752,634.52
  5. Step 5: Solve for x
    x = 88,086,752,634.52/135,730.69
  6. Step 6: Final answer
    x = 648,981.85

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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.