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Finding the Third Proportional to 87,422 and 182,224

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Solution

The third proportional to 87,422 and 182,224 is: 379,831.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,422 : 182,224 = 182,224 : x
  2. Step 2: Convert to fraction form
    87,422/182,224 = 182,224/x
  3. Step 3: Cross multiply
    87,422x = 182,224 × 182,224
  4. Step 4: Simplify right side
    87,422x = 33,205,586,176
  5. Step 5: Solve for x
    x = 33,205,586,176/87,422
  6. Step 6: Final answer
    x = 379,831.01

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.