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Finding the Third Proportional to 106,566 and 227,904

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Solution

The third proportional to 106,566 and 227,904 is: 487,399.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,566 : 227,904 = 227,904 : x
  2. Step 2: Convert to fraction form
    106,566/227,904 = 227,904/x
  3. Step 3: Cross multiply
    106,566x = 227,904 × 227,904
  4. Step 4: Simplify right side
    106,566x = 51,940,233,216
  5. Step 5: Solve for x
    x = 51,940,233,216/106,566
  6. Step 6: Final answer
    x = 487,399.67

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.