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Finding the Third Proportional to 84,038 and 177,256

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Solution

The third proportional to 84,038 and 177,256 is: 373,874.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,038 : 177,256 = 177,256 : x
  2. Step 2: Convert to fraction form
    84,038/177,256 = 177,256/x
  3. Step 3: Cross multiply
    84,038x = 177,256 × 177,256
  4. Step 4: Simplify right side
    84,038x = 31,419,689,536
  5. Step 5: Solve for x
    x = 31,419,689,536/84,038
  6. Step 6: Final answer
    x = 373,874.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.