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Finding the Third Proportional to 207,015.75 and 280,690.88

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Solution

The third proportional to 207,015.75 and 280,690.88 is: 380,586.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,015.75 : 280,690.88 = 280,690.88 : x
  2. Step 2: Convert to fraction form
    207,015.75/280,690.88 = 280,690.88/x
  3. Step 3: Cross multiply
    207,015.75x = 280,690.88 × 280,690.88
  4. Step 4: Simplify right side
    207,015.75x = 78,787,367,308.27
  5. Step 5: Solve for x
    x = 78,787,367,308.27/207,015.75
  6. Step 6: Final answer
    x = 380,586.34

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.