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Finding the Third Proportional to 177,975 and 283,740

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Solution

The third proportional to 177,975 and 283,740 is: 452,357.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,975 : 283,740 = 283,740 : x
  2. Step 2: Convert to fraction form
    177,975/283,740 = 283,740/x
  3. Step 3: Cross multiply
    177,975x = 283,740 × 283,740
  4. Step 4: Simplify right side
    177,975x = 80,508,387,600
  5. Step 5: Solve for x
    x = 80,508,387,600/177,975
  6. Step 6: Final answer
    x = 452,357.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.