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Finding the Third Proportional to 121,406 and 283,564

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Solution

The third proportional to 121,406 and 283,564 is: 662,311.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,406 : 283,564 = 283,564 : x
  2. Step 2: Convert to fraction form
    121,406/283,564 = 283,564/x
  3. Step 3: Cross multiply
    121,406x = 283,564 × 283,564
  4. Step 4: Simplify right side
    121,406x = 80,408,542,096
  5. Step 5: Solve for x
    x = 80,408,542,096/121,406
  6. Step 6: Final answer
    x = 662,311.11

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.