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Finding the Third Proportional to 186,446 and 279,615

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Solution

The third proportional to 186,446 and 279,615 is: 419,341.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,446 : 279,615 = 279,615 : x
  2. Step 2: Convert to fraction form
    186,446/279,615 = 279,615/x
  3. Step 3: Cross multiply
    186,446x = 279,615 × 279,615
  4. Step 4: Simplify right side
    186,446x = 78,184,548,225
  5. Step 5: Solve for x
    x = 78,184,548,225/186,446
  6. Step 6: Final answer
    x = 419,341.52

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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.