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Finding the Third Proportional to 148,183 and 229,794

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Solution

The third proportional to 148,183 and 229,794 is: 356,351.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,183 : 229,794 = 229,794 : x
  2. Step 2: Convert to fraction form
    148,183/229,794 = 229,794/x
  3. Step 3: Cross multiply
    148,183x = 229,794 × 229,794
  4. Step 4: Simplify right side
    148,183x = 52,805,282,436
  5. Step 5: Solve for x
    x = 52,805,282,436/148,183
  6. Step 6: Final answer
    x = 356,351.82

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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.