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Finding the Third Proportional to 144,965 and 219,452

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Solution

The third proportional to 144,965 and 219,452 is: 332,212.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,965 : 219,452 = 219,452 : x
  2. Step 2: Convert to fraction form
    144,965/219,452 = 219,452/x
  3. Step 3: Cross multiply
    144,965x = 219,452 × 219,452
  4. Step 4: Simplify right side
    144,965x = 48,159,180,304
  5. Step 5: Solve for x
    x = 48,159,180,304/144,965
  6. Step 6: Final answer
    x = 332,212.47

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.