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Finding the Third Proportional to 227,230 and 352,327

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Solution

The third proportional to 227,230 and 352,327 is: 546,293.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,230 : 352,327 = 352,327 : x
  2. Step 2: Convert to fraction form
    227,230/352,327 = 352,327/x
  3. Step 3: Cross multiply
    227,230x = 352,327 × 352,327
  4. Step 4: Simplify right side
    227,230x = 124,134,314,929
  5. Step 5: Solve for x
    x = 124,134,314,929/227,230
  6. Step 6: Final answer
    x = 546,293.69

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.