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Finding the Third Proportional to 111,027 and 240,774

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Solution

The third proportional to 111,027 and 240,774 is: 522,144.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,027 : 240,774 = 240,774 : x
  2. Step 2: Convert to fraction form
    111,027/240,774 = 240,774/x
  3. Step 3: Cross multiply
    111,027x = 240,774 × 240,774
  4. Step 4: Simplify right side
    111,027x = 57,972,119,076
  5. Step 5: Solve for x
    x = 57,972,119,076/111,027
  6. Step 6: Final answer
    x = 522,144.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.