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Finding the Third Proportional to 177,399.75 and 275,442.75

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Solution

The third proportional to 177,399.75 and 275,442.75 is: 427,670.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,399.75 : 275,442.75 = 275,442.75 : x
  2. Step 2: Convert to fraction form
    177,399.75/275,442.75 = 275,442.75/x
  3. Step 3: Cross multiply
    177,399.75x = 275,442.75 × 275,442.75
  4. Step 4: Simplify right side
    177,399.75x = 75,868,708,527.56
  5. Step 5: Solve for x
    x = 75,868,708,527.56/177,399.75
  6. Step 6: Final answer
    x = 427,670.89

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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.