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Finding the Third Proportional to 177,453 and 274,927

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Solution

The third proportional to 177,453 and 274,927 is: 425,942.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,453 : 274,927 = 274,927 : x
  2. Step 2: Convert to fraction form
    177,453/274,927 = 274,927/x
  3. Step 3: Cross multiply
    177,453x = 274,927 × 274,927
  4. Step 4: Simplify right side
    177,453x = 75,584,855,329
  5. Step 5: Solve for x
    x = 75,584,855,329/177,453
  6. Step 6: Final answer
    x = 425,942.96

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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.