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Finding the Third Proportional to 232,311 and 344,142

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Solution

The third proportional to 232,311 and 344,142 is: 509,806.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,311 : 344,142 = 344,142 : x
  2. Step 2: Convert to fraction form
    232,311/344,142 = 344,142/x
  3. Step 3: Cross multiply
    232,311x = 344,142 × 344,142
  4. Step 4: Simplify right side
    232,311x = 118,433,716,164
  5. Step 5: Solve for x
    x = 118,433,716,164/232,311
  6. Step 6: Final answer
    x = 509,806.75

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.