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Finding the Third Proportional to 178,265 and 388,516

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Solution

The third proportional to 178,265 and 388,516 is: 846,743.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,265 : 388,516 = 388,516 : x
  2. Step 2: Convert to fraction form
    178,265/388,516 = 388,516/x
  3. Step 3: Cross multiply
    178,265x = 388,516 × 388,516
  4. Step 4: Simplify right side
    178,265x = 150,944,682,256
  5. Step 5: Solve for x
    x = 150,944,682,256/178,265
  6. Step 6: Final answer
    x = 846,743.23

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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.