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Finding the Third Proportional to 151,928 and 235,857

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Solution

The third proportional to 151,928 and 235,857 is: 366,150.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,928 : 235,857 = 235,857 : x
  2. Step 2: Convert to fraction form
    151,928/235,857 = 235,857/x
  3. Step 3: Cross multiply
    151,928x = 235,857 × 235,857
  4. Step 4: Simplify right side
    151,928x = 55,628,524,449
  5. Step 5: Solve for x
    x = 55,628,524,449/151,928
  6. Step 6: Final answer
    x = 366,150.57

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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.