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Finding the Third Proportional to 186,756 and 280,318

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Solution

The third proportional to 186,756 and 280,318 is: 420,753.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,756 : 280,318 = 280,318 : x
  2. Step 2: Convert to fraction form
    186,756/280,318 = 280,318/x
  3. Step 3: Cross multiply
    186,756x = 280,318 × 280,318
  4. Step 4: Simplify right side
    186,756x = 78,578,181,124
  5. Step 5: Solve for x
    x = 78,578,181,124/186,756
  6. Step 6: Final answer
    x = 420,753.18

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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.