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Finding the Third Proportional to 218,791.13 and 295,336.13

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Solution

The third proportional to 218,791.13 and 295,336.13 is: 398,660.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,791.13 : 295,336.13 = 295,336.13 : x
  2. Step 2: Convert to fraction form
    218,791.13/295,336.13 = 295,336.13/x
  3. Step 3: Cross multiply
    218,791.13x = 295,336.13 × 295,336.13
  4. Step 4: Simplify right side
    218,791.13x = 87,223,426,730.02
  5. Step 5: Solve for x
    x = 87,223,426,730.02/218,791.13
  6. Step 6: Final answer
    x = 398,660.72

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.