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Finding the Third Proportional to 186,784 and 279,516

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Solution

The third proportional to 186,784 and 279,516 is: 418,286.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,784 : 279,516 = 279,516 : x
  2. Step 2: Convert to fraction form
    186,784/279,516 = 279,516/x
  3. Step 3: Cross multiply
    186,784x = 279,516 × 279,516
  4. Step 4: Simplify right side
    186,784x = 78,129,194,256
  5. Step 5: Solve for x
    x = 78,129,194,256/186,784
  6. Step 6: Final answer
    x = 418,286.33

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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.