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Finding the Third Proportional to 107,660 and 231,772

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Solution

The third proportional to 107,660 and 231,772 is: 498,962.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,660 : 231,772 = 231,772 : x
  2. Step 2: Convert to fraction form
    107,660/231,772 = 231,772/x
  3. Step 3: Cross multiply
    107,660x = 231,772 × 231,772
  4. Step 4: Simplify right side
    107,660x = 53,718,259,984
  5. Step 5: Solve for x
    x = 53,718,259,984/107,660
  6. Step 6: Final answer
    x = 498,962.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.