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Finding the Third Proportional to 177,453 and 274,882

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Solution

The third proportional to 177,453 and 274,882 is: 425,803.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,453 : 274,882 = 274,882 : x
  2. Step 2: Convert to fraction form
    177,453/274,882 = 274,882/x
  3. Step 3: Cross multiply
    177,453x = 274,882 × 274,882
  4. Step 4: Simplify right side
    177,453x = 75,560,113,924
  5. Step 5: Solve for x
    x = 75,560,113,924/177,453
  6. Step 6: Final answer
    x = 425,803.53

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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.