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Finding the Third Proportional to 234,956 and 351,408

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Solution

The third proportional to 234,956 and 351,408 is: 525,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,956 : 351,408 = 351,408 : x
  2. Step 2: Convert to fraction form
    234,956/351,408 = 351,408/x
  3. Step 3: Cross multiply
    234,956x = 351,408 × 351,408
  4. Step 4: Simplify right side
    234,956x = 123,487,582,464
  5. Step 5: Solve for x
    x = 123,487,582,464/234,956
  6. Step 6: Final answer
    x = 525,577.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.