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Finding the Third Proportional to 186,867 and 262,035

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Solution

The third proportional to 186,867 and 262,035 is: 367,439.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,867 : 262,035 = 262,035 : x
  2. Step 2: Convert to fraction form
    186,867/262,035 = 262,035/x
  3. Step 3: Cross multiply
    186,867x = 262,035 × 262,035
  4. Step 4: Simplify right side
    186,867x = 68,662,341,225
  5. Step 5: Solve for x
    x = 68,662,341,225/186,867
  6. Step 6: Final answer
    x = 367,439.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.