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Finding the Third Proportional to 83,098 and 181,235

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Solution

The third proportional to 83,098 and 181,235 is: 395,269.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,098 : 181,235 = 181,235 : x
  2. Step 2: Convert to fraction form
    83,098/181,235 = 181,235/x
  3. Step 3: Cross multiply
    83,098x = 181,235 × 181,235
  4. Step 4: Simplify right side
    83,098x = 32,846,125,225
  5. Step 5: Solve for x
    x = 32,846,125,225/83,098
  6. Step 6: Final answer
    x = 395,269.74

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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.