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Finding the Third Proportional to 186,504 and 279,692

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Solution

The third proportional to 186,504 and 279,692 is: 419,442.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,504 : 279,692 = 279,692 : x
  2. Step 2: Convert to fraction form
    186,504/279,692 = 279,692/x
  3. Step 3: Cross multiply
    186,504x = 279,692 × 279,692
  4. Step 4: Simplify right side
    186,504x = 78,227,614,864
  5. Step 5: Solve for x
    x = 78,227,614,864/186,504
  6. Step 6: Final answer
    x = 419,442.02

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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.