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Finding the Third Proportional to 177,860 and 419,848

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Solution

The third proportional to 177,860 and 419,848 is: 991,073.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,860 : 419,848 = 419,848 : x
  2. Step 2: Convert to fraction form
    177,860/419,848 = 419,848/x
  3. Step 3: Cross multiply
    177,860x = 419,848 × 419,848
  4. Step 4: Simplify right side
    177,860x = 176,272,343,104
  5. Step 5: Solve for x
    x = 176,272,343,104/177,860
  6. Step 6: Final answer
    x = 991,073.56

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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.