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Finding the Third Proportional to 177,187.50 and 388,822.78

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Solution

The third proportional to 177,187.50 and 388,822.78 is: 853,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,187.50 : 388,822.78 = 388,822.78 : x
  2. Step 2: Convert to fraction form
    177,187.50/388,822.78 = 388,822.78/x
  3. Step 3: Cross multiply
    177,187.50x = 388,822.78 × 388,822.78
  4. Step 4: Simplify right side
    177,187.50x = 151,183,155,218.99
  5. Step 5: Solve for x
    x = 151,183,155,218.99/177,187.50
  6. Step 6: Final answer
    x = 853,238.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.