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Finding the Third Proportional to 111,276 and 230,327

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Solution

The third proportional to 111,276 and 230,327 is: 476,747.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,276 : 230,327 = 230,327 : x
  2. Step 2: Convert to fraction form
    111,276/230,327 = 230,327/x
  3. Step 3: Cross multiply
    111,276x = 230,327 × 230,327
  4. Step 4: Simplify right side
    111,276x = 53,050,526,929
  5. Step 5: Solve for x
    x = 53,050,526,929/111,276
  6. Step 6: Final answer
    x = 476,747.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.