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Finding the Third Proportional to 215,328 and 333,408

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Solution

The third proportional to 215,328 and 333,408 is: 516,239.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,328 : 333,408 = 333,408 : x
  2. Step 2: Convert to fraction form
    215,328/333,408 = 333,408/x
  3. Step 3: Cross multiply
    215,328x = 333,408 × 333,408
  4. Step 4: Simplify right side
    215,328x = 111,160,894,464
  5. Step 5: Solve for x
    x = 111,160,894,464/215,328
  6. Step 6: Final answer
    x = 516,239.85

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.