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Finding the Third Proportional to 179,982 and 247,131

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Solution

The third proportional to 179,982 and 247,131 is: 339,332.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,982 : 247,131 = 247,131 : x
  2. Step 2: Convert to fraction form
    179,982/247,131 = 247,131/x
  3. Step 3: Cross multiply
    179,982x = 247,131 × 247,131
  4. Step 4: Simplify right side
    179,982x = 61,073,731,161
  5. Step 5: Solve for x
    x = 61,073,731,161/179,982
  6. Step 6: Final answer
    x = 339,332.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.