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Finding the Third Proportional to 156,734 and 338,408

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Solution

The third proportional to 156,734 and 338,408 is: 730,664.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,734 : 338,408 = 338,408 : x
  2. Step 2: Convert to fraction form
    156,734/338,408 = 338,408/x
  3. Step 3: Cross multiply
    156,734x = 338,408 × 338,408
  4. Step 4: Simplify right side
    156,734x = 114,519,974,464
  5. Step 5: Solve for x
    x = 114,519,974,464/156,734
  6. Step 6: Final answer
    x = 730,664.53

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.