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Finding the Third Proportional to 141,284.50 and 211,930

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Solution

The third proportional to 141,284.50 and 211,930 is: 317,899.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,284.50 : 211,930 = 211,930 : x
  2. Step 2: Convert to fraction form
    141,284.50/211,930 = 211,930/x
  3. Step 3: Cross multiply
    141,284.50x = 211,930 × 211,930
  4. Step 4: Simplify right side
    141,284.50x = 44,914,324,900
  5. Step 5: Solve for x
    x = 44,914,324,900/141,284.50
  6. Step 6: Final answer
    x = 317,899.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.