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Finding the Third Proportional to 166,847 and 359,944

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Solution

The third proportional to 166,847 and 359,944 is: 776,517.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,847 : 359,944 = 359,944 : x
  2. Step 2: Convert to fraction form
    166,847/359,944 = 359,944/x
  3. Step 3: Cross multiply
    166,847x = 359,944 × 359,944
  4. Step 4: Simplify right side
    166,847x = 129,559,683,136
  5. Step 5: Solve for x
    x = 129,559,683,136/166,847
  6. Step 6: Final answer
    x = 776,517.91

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.