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Finding the Third Proportional to 147,867 and 231,660

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Solution

The third proportional to 147,867 and 231,660 is: 362,936.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,867 : 231,660 = 231,660 : x
  2. Step 2: Convert to fraction form
    147,867/231,660 = 231,660/x
  3. Step 3: Cross multiply
    147,867x = 231,660 × 231,660
  4. Step 4: Simplify right side
    147,867x = 53,666,355,600
  5. Step 5: Solve for x
    x = 53,666,355,600/147,867
  6. Step 6: Final answer
    x = 362,936.66

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.