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Finding the Third Proportional to 242,794.13 and 359,479.69

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Solution

The third proportional to 242,794.13 and 359,479.69 is: 532,243.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,794.13 : 359,479.69 = 359,479.69 : x
  2. Step 2: Convert to fraction form
    242,794.13/359,479.69 = 359,479.69/x
  3. Step 3: Cross multiply
    242,794.13x = 359,479.69 × 359,479.69
  4. Step 4: Simplify right side
    242,794.13x = 129,225,645,725.10
  5. Step 5: Solve for x
    x = 129,225,645,725.10/242,794.13
  6. Step 6: Final answer
    x = 532,243.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.