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Finding the Third Proportional to 141,920 and 236,524

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Solution

The third proportional to 141,920 and 236,524 is: 394,191.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,920 : 236,524 = 236,524 : x
  2. Step 2: Convert to fraction form
    141,920/236,524 = 236,524/x
  3. Step 3: Cross multiply
    141,920x = 236,524 × 236,524
  4. Step 4: Simplify right side
    141,920x = 55,943,602,576
  5. Step 5: Solve for x
    x = 55,943,602,576/141,920
  6. Step 6: Final answer
    x = 394,191.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.