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Finding the Third Proportional to 177,937.50 and 275,220.75

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Solution

The third proportional to 177,937.50 and 275,220.75 is: 425,691.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,937.50 : 275,220.75 = 275,220.75 : x
  2. Step 2: Convert to fraction form
    177,937.50/275,220.75 = 275,220.75/x
  3. Step 3: Cross multiply
    177,937.50x = 275,220.75 × 275,220.75
  4. Step 4: Simplify right side
    177,937.50x = 75,746,461,230.56
  5. Step 5: Solve for x
    x = 75,746,461,230.56/177,937.50
  6. Step 6: Final answer
    x = 425,691.39

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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.