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Finding the Third Proportional to 177,890.13 and 275,147.93

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Solution

The third proportional to 177,890.13 and 275,147.93 is: 425,579.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,890.13 : 275,147.93 = 275,147.93 : x
  2. Step 2: Convert to fraction form
    177,890.13/275,147.93 = 275,147.93/x
  3. Step 3: Cross multiply
    177,890.13x = 275,147.93 × 275,147.93
  4. Step 4: Simplify right side
    177,890.13x = 75,706,383,211.32
  5. Step 5: Solve for x
    x = 75,706,383,211.32/177,890.13
  6. Step 6: Final answer
    x = 425,579.44

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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.