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Finding the Third Proportional to 227,116 and 308,575

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Solution

The third proportional to 227,116 and 308,575 is: 419,250.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,116 : 308,575 = 308,575 : x
  2. Step 2: Convert to fraction form
    227,116/308,575 = 308,575/x
  3. Step 3: Cross multiply
    227,116x = 308,575 × 308,575
  4. Step 4: Simplify right side
    227,116x = 95,218,530,625
  5. Step 5: Solve for x
    x = 95,218,530,625/227,116
  6. Step 6: Final answer
    x = 419,250.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.