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Finding the Third Proportional to 114,800 and 247,192

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Solution

The third proportional to 114,800 and 247,192 is: 532,263.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,800 : 247,192 = 247,192 : x
  2. Step 2: Convert to fraction form
    114,800/247,192 = 247,192/x
  3. Step 3: Cross multiply
    114,800x = 247,192 × 247,192
  4. Step 4: Simplify right side
    114,800x = 61,103,884,864
  5. Step 5: Solve for x
    x = 61,103,884,864/114,800
  6. Step 6: Final answer
    x = 532,263.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.