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Finding the Third Proportional to 151,110 and 226,737

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Solution

The third proportional to 151,110 and 226,737 is: 340,213.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,110 : 226,737 = 226,737 : x
  2. Step 2: Convert to fraction form
    151,110/226,737 = 226,737/x
  3. Step 3: Cross multiply
    151,110x = 226,737 × 226,737
  4. Step 4: Simplify right side
    151,110x = 51,409,667,169
  5. Step 5: Solve for x
    x = 51,409,667,169/151,110
  6. Step 6: Final answer
    x = 340,213.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.