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Finding the Third Proportional to 153,992 and 337,408

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Solution

The third proportional to 153,992 and 337,408 is: 739,286.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,992 : 337,408 = 337,408 : x
  2. Step 2: Convert to fraction form
    153,992/337,408 = 337,408/x
  3. Step 3: Cross multiply
    153,992x = 337,408 × 337,408
  4. Step 4: Simplify right side
    153,992x = 113,844,158,464
  5. Step 5: Solve for x
    x = 113,844,158,464/153,992
  6. Step 6: Final answer
    x = 739,286.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.