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Finding the Third Proportional to 106,902 and 230,754

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Solution

The third proportional to 106,902 and 230,754 is: 498,095.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,902 : 230,754 = 230,754 : x
  2. Step 2: Convert to fraction form
    106,902/230,754 = 230,754/x
  3. Step 3: Cross multiply
    106,902x = 230,754 × 230,754
  4. Step 4: Simplify right side
    106,902x = 53,247,408,516
  5. Step 5: Solve for x
    x = 53,247,408,516/106,902
  6. Step 6: Final answer
    x = 498,095.53

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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.