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Finding the Third Proportional to 144,967 and 217,723

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Solution

The third proportional to 144,967 and 217,723 is: 326,993.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,967 : 217,723 = 217,723 : x
  2. Step 2: Convert to fraction form
    144,967/217,723 = 217,723/x
  3. Step 3: Cross multiply
    144,967x = 217,723 × 217,723
  4. Step 4: Simplify right side
    144,967x = 47,403,304,729
  5. Step 5: Solve for x
    x = 47,403,304,729/144,967
  6. Step 6: Final answer
    x = 326,993.76

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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.