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Finding the Third Proportional to 215,108 and 334,167

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Solution

The third proportional to 215,108 and 334,167 is: 519,123.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,108 : 334,167 = 334,167 : x
  2. Step 2: Convert to fraction form
    215,108/334,167 = 334,167/x
  3. Step 3: Cross multiply
    215,108x = 334,167 × 334,167
  4. Step 4: Simplify right side
    215,108x = 111,667,583,889
  5. Step 5: Solve for x
    x = 111,667,583,889/215,108
  6. Step 6: Final answer
    x = 519,123.34

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Why These Related Problems?

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