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Finding the Third Proportional to 177,813 and 387,580

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Solution

The third proportional to 177,813 and 387,580 is: 844,810.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,813 : 387,580 = 387,580 : x
  2. Step 2: Convert to fraction form
    177,813/387,580 = 387,580/x
  3. Step 3: Cross multiply
    177,813x = 387,580 × 387,580
  4. Step 4: Simplify right side
    177,813x = 150,218,256,400
  5. Step 5: Solve for x
    x = 150,218,256,400/177,813
  6. Step 6: Final answer
    x = 844,810.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.