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Finding the Third Proportional to 179,930 and 256,314

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Solution

The third proportional to 179,930 and 256,314 is: 365,124.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,930 : 256,314 = 256,314 : x
  2. Step 2: Convert to fraction form
    179,930/256,314 = 256,314/x
  3. Step 3: Cross multiply
    179,930x = 256,314 × 256,314
  4. Step 4: Simplify right side
    179,930x = 65,696,866,596
  5. Step 5: Solve for x
    x = 65,696,866,596/179,930
  6. Step 6: Final answer
    x = 365,124.59

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.