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Finding the Third Proportional to 88,730 and 192,230

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Solution

The third proportional to 88,730 and 192,230 is: 416,458.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,730 : 192,230 = 192,230 : x
  2. Step 2: Convert to fraction form
    88,730/192,230 = 192,230/x
  3. Step 3: Cross multiply
    88,730x = 192,230 × 192,230
  4. Step 4: Simplify right side
    88,730x = 36,952,372,900
  5. Step 5: Solve for x
    x = 36,952,372,900/88,730
  6. Step 6: Final answer
    x = 416,458.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.