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Finding the Third Proportional to 74,708.26 and 160,488.21

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Solution

The third proportional to 74,708.26 and 160,488.21 is: 344,760.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,708.26 : 160,488.21 = 160,488.21 : x
  2. Step 2: Convert to fraction form
    74,708.26/160,488.21 = 160,488.21/x
  3. Step 3: Cross multiply
    74,708.26x = 160,488.21 × 160,488.21
  4. Step 4: Simplify right side
    74,708.26x = 25,756,465,849.92
  5. Step 5: Solve for x
    x = 25,756,465,849.92/74,708.26
  6. Step 6: Final answer
    x = 344,760.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.