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Finding the Third Proportional to 150,366 and 211,560

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Solution

The third proportional to 150,366 and 211,560 is: 297,657.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,366 : 211,560 = 211,560 : x
  2. Step 2: Convert to fraction form
    150,366/211,560 = 211,560/x
  3. Step 3: Cross multiply
    150,366x = 211,560 × 211,560
  4. Step 4: Simplify right side
    150,366x = 44,757,633,600
  5. Step 5: Solve for x
    x = 44,757,633,600/150,366
  6. Step 6: Final answer
    x = 297,657.94

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.