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Finding the Third Proportional to 226,869 and 308,295

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Solution

The third proportional to 226,869 and 308,295 is: 418,945.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,869 : 308,295 = 308,295 : x
  2. Step 2: Convert to fraction form
    226,869/308,295 = 308,295/x
  3. Step 3: Cross multiply
    226,869x = 308,295 × 308,295
  4. Step 4: Simplify right side
    226,869x = 95,045,807,025
  5. Step 5: Solve for x
    x = 95,045,807,025/226,869
  6. Step 6: Final answer
    x = 418,945.77

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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.