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Finding the Third Proportional to 186,768.75 and 280,344.38

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Solution

The third proportional to 186,768.75 and 280,344.38 is: 420,803.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,768.75 : 280,344.38 = 280,344.38 : x
  2. Step 2: Convert to fraction form
    186,768.75/280,344.38 = 280,344.38/x
  3. Step 3: Cross multiply
    186,768.75x = 280,344.38 × 280,344.38
  4. Step 4: Simplify right side
    186,768.75x = 78,592,968,594.14
  5. Step 5: Solve for x
    x = 78,592,968,594.14/186,768.75
  6. Step 6: Final answer
    x = 420,803.63

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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.