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Finding the Third Proportional to 185,584 and 271,680

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Solution

The third proportional to 185,584 and 271,680 is: 397,717.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,584 : 271,680 = 271,680 : x
  2. Step 2: Convert to fraction form
    185,584/271,680 = 271,680/x
  3. Step 3: Cross multiply
    185,584x = 271,680 × 271,680
  4. Step 4: Simplify right side
    185,584x = 73,810,022,400
  5. Step 5: Solve for x
    x = 73,810,022,400/185,584
  6. Step 6: Final answer
    x = 397,717.60

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.