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Finding the Third Proportional to 144,812.25 and 220,182.75

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Solution

The third proportional to 144,812.25 and 220,182.75 is: 334,781.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,812.25 : 220,182.75 = 220,182.75 : x
  2. Step 2: Convert to fraction form
    144,812.25/220,182.75 = 220,182.75/x
  3. Step 3: Cross multiply
    144,812.25x = 220,182.75 × 220,182.75
  4. Step 4: Simplify right side
    144,812.25x = 48,480,443,397.56
  5. Step 5: Solve for x
    x = 48,480,443,397.56/144,812.25
  6. Step 6: Final answer
    x = 334,781.37

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.