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Finding the Third Proportional to 186,624 and 279,936

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Solution

The third proportional to 186,624 and 279,936 is: 419,904

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,624 : 279,936 = 279,936 : x
  2. Step 2: Convert to fraction form
    186,624/279,936 = 279,936/x
  3. Step 3: Cross multiply
    186,624x = 279,936 × 279,936
  4. Step 4: Simplify right side
    186,624x = 78,364,164,096
  5. Step 5: Solve for x
    x = 78,364,164,096/186,624
  6. Step 6: Final answer
    x = 419,904

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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.