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Finding the Third Proportional to 159,504 and 345,408

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Solution

The third proportional to 159,504 and 345,408 is: 747,985.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,504 : 345,408 = 345,408 : x
  2. Step 2: Convert to fraction form
    159,504/345,408 = 345,408/x
  3. Step 3: Cross multiply
    159,504x = 345,408 × 345,408
  4. Step 4: Simplify right side
    159,504x = 119,306,686,464
  5. Step 5: Solve for x
    x = 119,306,686,464/159,504
  6. Step 6: Final answer
    x = 747,985.55

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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.