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Finding the Third Proportional to 177,900.38 and 388,632.75

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Solution

The third proportional to 177,900.38 and 388,632.75 is: 848,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,900.38 : 388,632.75 = 388,632.75 : x
  2. Step 2: Convert to fraction form
    177,900.38/388,632.75 = 388,632.75/x
  3. Step 3: Cross multiply
    177,900.38x = 388,632.75 × 388,632.75
  4. Step 4: Simplify right side
    177,900.38x = 151,035,414,372.56
  5. Step 5: Solve for x
    x = 151,035,414,372.56/177,900.38
  6. Step 6: Final answer
    x = 848,988.74

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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.