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Finding the Third Proportional to 227,674 and 342,246

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Solution

The third proportional to 227,674 and 342,246 is: 514,473.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,674 : 342,246 = 342,246 : x
  2. Step 2: Convert to fraction form
    227,674/342,246 = 342,246/x
  3. Step 3: Cross multiply
    227,674x = 342,246 × 342,246
  4. Step 4: Simplify right side
    227,674x = 117,132,324,516
  5. Step 5: Solve for x
    x = 117,132,324,516/227,674
  6. Step 6: Final answer
    x = 514,473.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.