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Finding the Third Proportional to 106,804 and 227,412

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Solution

The third proportional to 106,804 and 227,412 is: 484,216.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,804 : 227,412 = 227,412 : x
  2. Step 2: Convert to fraction form
    106,804/227,412 = 227,412/x
  3. Step 3: Cross multiply
    106,804x = 227,412 × 227,412
  4. Step 4: Simplify right side
    106,804x = 51,716,217,744
  5. Step 5: Solve for x
    x = 51,716,217,744/106,804
  6. Step 6: Final answer
    x = 484,216.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.