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Finding the Third Proportional to 177,853 and 419,833

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Solution

The third proportional to 177,853 and 419,833 is: 991,041.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,853 : 419,833 = 419,833 : x
  2. Step 2: Convert to fraction form
    177,853/419,833 = 419,833/x
  3. Step 3: Cross multiply
    177,853x = 419,833 × 419,833
  4. Step 4: Simplify right side
    177,853x = 176,259,747,889
  5. Step 5: Solve for x
    x = 176,259,747,889/177,853
  6. Step 6: Final answer
    x = 991,041.75

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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.