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Finding the Third Proportional to 120,314 and 261,408

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Solution

The third proportional to 120,314 and 261,408 is: 567,965.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,314 : 261,408 = 261,408 : x
  2. Step 2: Convert to fraction form
    120,314/261,408 = 261,408/x
  3. Step 3: Cross multiply
    120,314x = 261,408 × 261,408
  4. Step 4: Simplify right side
    120,314x = 68,334,142,464
  5. Step 5: Solve for x
    x = 68,334,142,464/120,314
  6. Step 6: Final answer
    x = 567,965.01

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.