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Finding the Third Proportional to 177,200.16 and 388,845.56

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Solution

The third proportional to 177,200.16 and 388,845.56 is: 853,277.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,200.16 : 388,845.56 = 388,845.56 : x
  2. Step 2: Convert to fraction form
    177,200.16/388,845.56 = 388,845.56/x
  3. Step 3: Cross multiply
    177,200.16x = 388,845.56 × 388,845.56
  4. Step 4: Simplify right side
    177,200.16x = 151,200,871,475.94
  5. Step 5: Solve for x
    x = 151,200,871,475.94/177,200.16
  6. Step 6: Final answer
    x = 853,277.30

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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.