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Finding the Third Proportional to 179,581 and 392,818

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Solution

The third proportional to 179,581 and 392,818 is: 859,255.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,581 : 392,818 = 392,818 : x
  2. Step 2: Convert to fraction form
    179,581/392,818 = 392,818/x
  3. Step 3: Cross multiply
    179,581x = 392,818 × 392,818
  4. Step 4: Simplify right side
    179,581x = 154,305,981,124
  5. Step 5: Solve for x
    x = 154,305,981,124/179,581
  6. Step 6: Final answer
    x = 859,255.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.