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Finding the Third Proportional to 109,512 and 240,408

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Solution

The third proportional to 109,512 and 240,408 is: 527,759.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,512 : 240,408 = 240,408 : x
  2. Step 2: Convert to fraction form
    109,512/240,408 = 240,408/x
  3. Step 3: Cross multiply
    109,512x = 240,408 × 240,408
  4. Step 4: Simplify right side
    109,512x = 57,796,006,464
  5. Step 5: Solve for x
    x = 57,796,006,464/109,512
  6. Step 6: Final answer
    x = 527,759.57

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.