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Finding the Third Proportional to 227,674 and 342,244

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Solution

The third proportional to 227,674 and 342,244 is: 514,467.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,674 : 342,244 = 342,244 : x
  2. Step 2: Convert to fraction form
    227,674/342,244 = 342,244/x
  3. Step 3: Cross multiply
    227,674x = 342,244 × 342,244
  4. Step 4: Simplify right side
    227,674x = 117,130,955,536
  5. Step 5: Solve for x
    x = 117,130,955,536/227,674
  6. Step 6: Final answer
    x = 514,467.86

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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.