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Finding the Third Proportional to 186,825 and 227,865

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Solution

The third proportional to 186,825 and 227,865 is: 277,920.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,825 : 227,865 = 227,865 : x
  2. Step 2: Convert to fraction form
    186,825/227,865 = 227,865/x
  3. Step 3: Cross multiply
    186,825x = 227,865 × 227,865
  4. Step 4: Simplify right side
    186,825x = 51,922,458,225
  5. Step 5: Solve for x
    x = 51,922,458,225/186,825
  6. Step 6: Final answer
    x = 277,920.29

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.