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Finding the Third Proportional to 144,822 and 214,975

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Solution

The third proportional to 144,822 and 214,975 is: 319,110.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,822 : 214,975 = 214,975 : x
  2. Step 2: Convert to fraction form
    144,822/214,975 = 214,975/x
  3. Step 3: Cross multiply
    144,822x = 214,975 × 214,975
  4. Step 4: Simplify right side
    144,822x = 46,214,250,625
  5. Step 5: Solve for x
    x = 46,214,250,625/144,822
  6. Step 6: Final answer
    x = 319,110.71

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.