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Finding the Third Proportional to 151,464 and 235,198

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Solution

The third proportional to 151,464 and 235,198 is: 365,222.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,464 : 235,198 = 235,198 : x
  2. Step 2: Convert to fraction form
    151,464/235,198 = 235,198/x
  3. Step 3: Cross multiply
    151,464x = 235,198 × 235,198
  4. Step 4: Simplify right side
    151,464x = 55,318,099,204
  5. Step 5: Solve for x
    x = 55,318,099,204/151,464
  6. Step 6: Final answer
    x = 365,222.75

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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.