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Finding the Third Proportional to 177,801.75 and 391,628.25

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Solution

The third proportional to 177,801.75 and 391,628.25 is: 862,605.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,801.75 : 391,628.25 = 391,628.25 : x
  2. Step 2: Convert to fraction form
    177,801.75/391,628.25 = 391,628.25/x
  3. Step 3: Cross multiply
    177,801.75x = 391,628.25 × 391,628.25
  4. Step 4: Simplify right side
    177,801.75x = 153,372,686,198.06
  5. Step 5: Solve for x
    x = 153,372,686,198.06/177,801.75
  6. Step 6: Final answer
    x = 862,605.04

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.