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Finding the Third Proportional to 87,176 and 186,340

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Solution

The third proportional to 87,176 and 186,340 is: 398,304.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,176 : 186,340 = 186,340 : x
  2. Step 2: Convert to fraction form
    87,176/186,340 = 186,340/x
  3. Step 3: Cross multiply
    87,176x = 186,340 × 186,340
  4. Step 4: Simplify right side
    87,176x = 34,722,595,600
  5. Step 5: Solve for x
    x = 34,722,595,600/87,176
  6. Step 6: Final answer
    x = 398,304.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.