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Finding the Third Proportional to 166,540 and 240,738

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Solution

The third proportional to 166,540 and 240,738 is: 347,993.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,540 : 240,738 = 240,738 : x
  2. Step 2: Convert to fraction form
    166,540/240,738 = 240,738/x
  3. Step 3: Cross multiply
    166,540x = 240,738 × 240,738
  4. Step 4: Simplify right side
    166,540x = 57,954,784,644
  5. Step 5: Solve for x
    x = 57,954,784,644/166,540
  6. Step 6: Final answer
    x = 347,993.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.