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Finding the Third Proportional to 150,217.50 and 211,293

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Solution

The third proportional to 150,217.50 and 211,293 is: 297,200.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,217.50 : 211,293 = 211,293 : x
  2. Step 2: Convert to fraction form
    150,217.50/211,293 = 211,293/x
  3. Step 3: Cross multiply
    150,217.50x = 211,293 × 211,293
  4. Step 4: Simplify right side
    150,217.50x = 44,644,731,849
  5. Step 5: Solve for x
    x = 44,644,731,849/150,217.50
  6. Step 6: Final answer
    x = 297,200.60

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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.