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Finding the Third Proportional to 177,062 and 388,612

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Solution

The third proportional to 177,062 and 388,612 is: 852,917.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,062 : 388,612 = 388,612 : x
  2. Step 2: Convert to fraction form
    177,062/388,612 = 388,612/x
  3. Step 3: Cross multiply
    177,062x = 388,612 × 388,612
  4. Step 4: Simplify right side
    177,062x = 151,019,286,544
  5. Step 5: Solve for x
    x = 151,019,286,544/177,062
  6. Step 6: Final answer
    x = 852,917.55

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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.