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Finding the Third Proportional to 105,836 and 226,399

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Solution

The third proportional to 105,836 and 226,399 is: 484,301.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,836 : 226,399 = 226,399 : x
  2. Step 2: Convert to fraction form
    105,836/226,399 = 226,399/x
  3. Step 3: Cross multiply
    105,836x = 226,399 × 226,399
  4. Step 4: Simplify right side
    105,836x = 51,256,507,201
  5. Step 5: Solve for x
    x = 51,256,507,201/105,836
  6. Step 6: Final answer
    x = 484,301.25

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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.