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Finding the Third Proportional to 171,182 and 337,747

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Solution

The third proportional to 171,182 and 337,747 is: 666,384.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,182 : 337,747 = 337,747 : x
  2. Step 2: Convert to fraction form
    171,182/337,747 = 337,747/x
  3. Step 3: Cross multiply
    171,182x = 337,747 × 337,747
  4. Step 4: Simplify right side
    171,182x = 114,073,036,009
  5. Step 5: Solve for x
    x = 114,073,036,009/171,182
  6. Step 6: Final answer
    x = 666,384.53

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.