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Finding the Third Proportional to 166,632 and 350,688

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Solution

The third proportional to 166,632 and 350,688 is: 738,045.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,632 : 350,688 = 350,688 : x
  2. Step 2: Convert to fraction form
    166,632/350,688 = 350,688/x
  3. Step 3: Cross multiply
    166,632x = 350,688 × 350,688
  4. Step 4: Simplify right side
    166,632x = 122,982,073,344
  5. Step 5: Solve for x
    x = 122,982,073,344/166,632
  6. Step 6: Final answer
    x = 738,045.95

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.