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Finding the Third Proportional to 177,812 and 419,740

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Solution

The third proportional to 177,812 and 419,740 is: 990,831.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,812 : 419,740 = 419,740 : x
  2. Step 2: Convert to fraction form
    177,812/419,740 = 419,740/x
  3. Step 3: Cross multiply
    177,812x = 419,740 × 419,740
  4. Step 4: Simplify right side
    177,812x = 176,181,667,600
  5. Step 5: Solve for x
    x = 176,181,667,600/177,812
  6. Step 6: Final answer
    x = 990,831.15

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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.