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Finding the Third Proportional to 166,631 and 359,878

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Solution

The third proportional to 166,631 and 359,878 is: 777,239.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,631 : 359,878 = 359,878 : x
  2. Step 2: Convert to fraction form
    166,631/359,878 = 359,878/x
  3. Step 3: Cross multiply
    166,631x = 359,878 × 359,878
  4. Step 4: Simplify right side
    166,631x = 129,512,174,884
  5. Step 5: Solve for x
    x = 129,512,174,884/166,631
  6. Step 6: Final answer
    x = 777,239.38

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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.