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Finding the Third Proportional to 84,902 and 182,332

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Solution

The third proportional to 84,902 and 182,332 is: 391,568.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,902 : 182,332 = 182,332 : x
  2. Step 2: Convert to fraction form
    84,902/182,332 = 182,332/x
  3. Step 3: Cross multiply
    84,902x = 182,332 × 182,332
  4. Step 4: Simplify right side
    84,902x = 33,244,958,224
  5. Step 5: Solve for x
    x = 33,244,958,224/84,902
  6. Step 6: Final answer
    x = 391,568.61

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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.