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Finding the Third Proportional to 173,934 and 269,118

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Solution

The third proportional to 173,934 and 269,118 is: 416,390.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,934 : 269,118 = 269,118 : x
  2. Step 2: Convert to fraction form
    173,934/269,118 = 269,118/x
  3. Step 3: Cross multiply
    173,934x = 269,118 × 269,118
  4. Step 4: Simplify right side
    173,934x = 72,424,497,924
  5. Step 5: Solve for x
    x = 72,424,497,924/173,934
  6. Step 6: Final answer
    x = 416,390.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.