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Finding the Third Proportional to 106,908 and 230,928

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Solution

The third proportional to 106,908 and 230,928 is: 498,819.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,908 : 230,928 = 230,928 : x
  2. Step 2: Convert to fraction form
    106,908/230,928 = 230,928/x
  3. Step 3: Cross multiply
    106,908x = 230,928 × 230,928
  4. Step 4: Simplify right side
    106,908x = 53,327,741,184
  5. Step 5: Solve for x
    x = 53,327,741,184/106,908
  6. Step 6: Final answer
    x = 498,819.00

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.