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Finding the Third Proportional to 141,914 and 213,463

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Solution

The third proportional to 141,914 and 213,463 is: 321,084.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,914 : 213,463 = 213,463 : x
  2. Step 2: Convert to fraction form
    141,914/213,463 = 213,463/x
  3. Step 3: Cross multiply
    141,914x = 213,463 × 213,463
  4. Step 4: Simplify right side
    141,914x = 45,566,452,369
  5. Step 5: Solve for x
    x = 45,566,452,369/141,914
  6. Step 6: Final answer
    x = 321,084.97

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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.