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Finding the Third Proportional to 98,016 and 155,367

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Solution

The third proportional to 98,016 and 155,367 is: 246,275.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,016 : 155,367 = 155,367 : x
  2. Step 2: Convert to fraction form
    98,016/155,367 = 155,367/x
  3. Step 3: Cross multiply
    98,016x = 155,367 × 155,367
  4. Step 4: Simplify right side
    98,016x = 24,138,904,689
  5. Step 5: Solve for x
    x = 24,138,904,689/98,016
  6. Step 6: Final answer
    x = 246,275.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.