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Finding the Third Proportional to 167,839 and 355,117

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Solution

The third proportional to 167,839 and 355,117 is: 751,363.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,839 : 355,117 = 355,117 : x
  2. Step 2: Convert to fraction form
    167,839/355,117 = 355,117/x
  3. Step 3: Cross multiply
    167,839x = 355,117 × 355,117
  4. Step 4: Simplify right side
    167,839x = 126,108,083,689
  5. Step 5: Solve for x
    x = 126,108,083,689/167,839
  6. Step 6: Final answer
    x = 751,363.41

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.