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Finding the Third Proportional to 150,711 and 205,244

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Solution

The third proportional to 150,711 and 205,244 is: 279,509.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,711 : 205,244 = 205,244 : x
  2. Step 2: Convert to fraction form
    150,711/205,244 = 205,244/x
  3. Step 3: Cross multiply
    150,711x = 205,244 × 205,244
  4. Step 4: Simplify right side
    150,711x = 42,125,099,536
  5. Step 5: Solve for x
    x = 42,125,099,536/150,711
  6. Step 6: Final answer
    x = 279,509.12

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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.