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Finding the Third Proportional to 167,540 and 361,324

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Solution

The third proportional to 167,540 and 361,324 is: 779,246.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,540 : 361,324 = 361,324 : x
  2. Step 2: Convert to fraction form
    167,540/361,324 = 361,324/x
  3. Step 3: Cross multiply
    167,540x = 361,324 × 361,324
  4. Step 4: Simplify right side
    167,540x = 130,555,032,976
  5. Step 5: Solve for x
    x = 130,555,032,976/167,540
  6. Step 6: Final answer
    x = 779,246.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.