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Finding the Third Proportional to 177,873.75 and 419,877

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Solution

The third proportional to 177,873.75 and 419,877 is: 991,133.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,873.75 : 419,877 = 419,877 : x
  2. Step 2: Convert to fraction form
    177,873.75/419,877 = 419,877/x
  3. Step 3: Cross multiply
    177,873.75x = 419,877 × 419,877
  4. Step 4: Simplify right side
    177,873.75x = 176,296,695,129
  5. Step 5: Solve for x
    x = 176,296,695,129/177,873.75
  6. Step 6: Final answer
    x = 991,133.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.