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Finding the Third Proportional to 177,876 and 275,562

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Solution

The third proportional to 177,876 and 275,562 is: 426,895.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,876 : 275,562 = 275,562 : x
  2. Step 2: Convert to fraction form
    177,876/275,562 = 275,562/x
  3. Step 3: Cross multiply
    177,876x = 275,562 × 275,562
  4. Step 4: Simplify right side
    177,876x = 75,934,415,844
  5. Step 5: Solve for x
    x = 75,934,415,844/177,876
  6. Step 6: Final answer
    x = 426,895.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.