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Finding the Third Proportional to 111,242 and 226,348

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Solution

The third proportional to 111,242 and 226,348 is: 460,558.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,242 : 226,348 = 226,348 : x
  2. Step 2: Convert to fraction form
    111,242/226,348 = 226,348/x
  3. Step 3: Cross multiply
    111,242x = 226,348 × 226,348
  4. Step 4: Simplify right side
    111,242x = 51,233,417,104
  5. Step 5: Solve for x
    x = 51,233,417,104/111,242
  6. Step 6: Final answer
    x = 460,558.22

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.