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Finding the Third Proportional to 177,450.75 and 274,878.56

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Solution

The third proportional to 177,450.75 and 274,878.56 is: 425,798.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,450.75 : 274,878.56 = 274,878.56 : x
  2. Step 2: Convert to fraction form
    177,450.75/274,878.56 = 274,878.56/x
  3. Step 3: Cross multiply
    177,450.75x = 274,878.56 × 274,878.56
  4. Step 4: Simplify right side
    177,450.75x = 75,558,224,122.07
  5. Step 5: Solve for x
    x = 75,558,224,122.07/177,450.75
  6. Step 6: Final answer
    x = 425,798.28

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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.