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Finding the Third Proportional to 177,851 and 419,828

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Solution

The third proportional to 177,851 and 419,828 is: 991,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,851 : 419,828 = 419,828 : x
  2. Step 2: Convert to fraction form
    177,851/419,828 = 419,828/x
  3. Step 3: Cross multiply
    177,851x = 419,828 × 419,828
  4. Step 4: Simplify right side
    177,851x = 176,255,549,584
  5. Step 5: Solve for x
    x = 176,255,549,584/177,851
  6. Step 6: Final answer
    x = 991,029.29

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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.