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Finding the Third Proportional to 141,918 and 213,468

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Solution

The third proportional to 141,918 and 213,468 is: 321,090.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,918 : 213,468 = 213,468 : x
  2. Step 2: Convert to fraction form
    141,918/213,468 = 213,468/x
  3. Step 3: Cross multiply
    141,918x = 213,468 × 213,468
  4. Step 4: Simplify right side
    141,918x = 45,568,587,024
  5. Step 5: Solve for x
    x = 45,568,587,024/141,918
  6. Step 6: Final answer
    x = 321,090.96

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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.