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Finding the Third Proportional to 88,246 and 192,350

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Solution

The third proportional to 88,246 and 192,350 is: 419,265.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,246 : 192,350 = 192,350 : x
  2. Step 2: Convert to fraction form
    88,246/192,350 = 192,350/x
  3. Step 3: Cross multiply
    88,246x = 192,350 × 192,350
  4. Step 4: Simplify right side
    88,246x = 36,998,522,500
  5. Step 5: Solve for x
    x = 36,998,522,500/88,246
  6. Step 6: Final answer
    x = 419,265.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.