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Finding the Third Proportional to 192,616.88 and 296,443.13

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Solution

The third proportional to 192,616.88 and 296,443.13 is: 456,234.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,616.88 : 296,443.13 = 296,443.13 : x
  2. Step 2: Convert to fraction form
    192,616.88/296,443.13 = 296,443.13/x
  3. Step 3: Cross multiply
    192,616.88x = 296,443.13 × 296,443.13
  4. Step 4: Simplify right side
    192,616.88x = 87,878,526,359.77
  5. Step 5: Solve for x
    x = 87,878,526,359.77/192,616.88
  6. Step 6: Final answer
    x = 456,234.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.