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Finding the Third Proportional to 87,300 and 169,314

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Solution

The third proportional to 87,300 and 169,314 is: 328,376.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,300 : 169,314 = 169,314 : x
  2. Step 2: Convert to fraction form
    87,300/169,314 = 169,314/x
  3. Step 3: Cross multiply
    87,300x = 169,314 × 169,314
  4. Step 4: Simplify right side
    87,300x = 28,667,230,596
  5. Step 5: Solve for x
    x = 28,667,230,596/87,300
  6. Step 6: Final answer
    x = 328,376.07

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Why These Related Problems?

These problems maintain the same ratio (1.94) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.