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Finding the Third Proportional to 168,192 and 362,496

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Solution

The third proportional to 168,192 and 362,496 is: 781,269.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,192 : 362,496 = 362,496 : x
  2. Step 2: Convert to fraction form
    168,192/362,496 = 362,496/x
  3. Step 3: Cross multiply
    168,192x = 362,496 × 362,496
  4. Step 4: Simplify right side
    168,192x = 131,403,350,016
  5. Step 5: Solve for x
    x = 131,403,350,016/168,192
  6. Step 6: Final answer
    x = 781,269.92

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.