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Finding the Third Proportional to 177,855 and 419,838

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Solution

The third proportional to 177,855 and 419,838 is: 991,054.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,855 : 419,838 = 419,838 : x
  2. Step 2: Convert to fraction form
    177,855/419,838 = 419,838/x
  3. Step 3: Cross multiply
    177,855x = 419,838 × 419,838
  4. Step 4: Simplify right side
    177,855x = 176,263,946,244
  5. Step 5: Solve for x
    x = 176,263,946,244/177,855
  6. Step 6: Final answer
    x = 991,054.21

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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.