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Finding the Third Proportional to 177,302 and 388,516

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Solution

The third proportional to 177,302 and 388,516 is: 851,342.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,302 : 388,516 = 388,516 : x
  2. Step 2: Convert to fraction form
    177,302/388,516 = 388,516/x
  3. Step 3: Cross multiply
    177,302x = 388,516 × 388,516
  4. Step 4: Simplify right side
    177,302x = 150,944,682,256
  5. Step 5: Solve for x
    x = 150,944,682,256/177,302
  6. Step 6: Final answer
    x = 851,342.24

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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.