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Finding the Third Proportional to 253,127 and 337,408

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Solution

The third proportional to 253,127 and 337,408 is: 449,751.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,127 : 337,408 = 337,408 : x
  2. Step 2: Convert to fraction form
    253,127/337,408 = 337,408/x
  3. Step 3: Cross multiply
    253,127x = 337,408 × 337,408
  4. Step 4: Simplify right side
    253,127x = 113,844,158,464
  5. Step 5: Solve for x
    x = 113,844,158,464/253,127
  6. Step 6: Final answer
    x = 449,751.15

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.