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Finding the Third Proportional to 77,234.50 and 167,314

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Solution

The third proportional to 77,234.50 and 167,314 is: 362,454.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,234.50 : 167,314 = 167,314 : x
  2. Step 2: Convert to fraction form
    77,234.50/167,314 = 167,314/x
  3. Step 3: Cross multiply
    77,234.50x = 167,314 × 167,314
  4. Step 4: Simplify right side
    77,234.50x = 27,993,974,596
  5. Step 5: Solve for x
    x = 27,993,974,596/77,234.50
  6. Step 6: Final answer
    x = 362,454.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.