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Finding the Third Proportional to 186,500 and 279,686

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Solution

The third proportional to 186,500 and 279,686 is: 419,433.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,500 : 279,686 = 279,686 : x
  2. Step 2: Convert to fraction form
    186,500/279,686 = 279,686/x
  3. Step 3: Cross multiply
    186,500x = 279,686 × 279,686
  4. Step 4: Simplify right side
    186,500x = 78,224,258,596
  5. Step 5: Solve for x
    x = 78,224,258,596/186,500
  6. Step 6: Final answer
    x = 419,433.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.