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Finding the Third Proportional to 177,909.75 and 275,175.56

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Solution

The third proportional to 177,909.75 and 275,175.56 is: 425,617.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,909.75 : 275,175.56 = 275,175.56 : x
  2. Step 2: Convert to fraction form
    177,909.75/275,175.56 = 275,175.56/x
  3. Step 3: Cross multiply
    177,909.75x = 275,175.56 × 275,175.56
  4. Step 4: Simplify right side
    177,909.75x = 75,721,590,197.19
  5. Step 5: Solve for x
    x = 75,721,590,197.19/177,909.75
  6. Step 6: Final answer
    x = 425,617.99

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