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Finding the Third Proportional to 80,048 and 185,324

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Solution

The third proportional to 80,048 and 185,324 is: 429,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,048 : 185,324 = 185,324 : x
  2. Step 2: Convert to fraction form
    80,048/185,324 = 185,324/x
  3. Step 3: Cross multiply
    80,048x = 185,324 × 185,324
  4. Step 4: Simplify right side
    80,048x = 34,344,984,976
  5. Step 5: Solve for x
    x = 34,344,984,976/80,048
  6. Step 6: Final answer
    x = 429,054.88

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.