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Finding the Third Proportional to 140,969 and 218,524

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Solution

The third proportional to 140,969 and 218,524 is: 338,746.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,969 : 218,524 = 218,524 : x
  2. Step 2: Convert to fraction form
    140,969/218,524 = 218,524/x
  3. Step 3: Cross multiply
    140,969x = 218,524 × 218,524
  4. Step 4: Simplify right side
    140,969x = 47,752,738,576
  5. Step 5: Solve for x
    x = 47,752,738,576/140,969
  6. Step 6: Final answer
    x = 338,746.38

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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.