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Finding the Third Proportional to 150,220.50 and 211,297.50

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Solution

The third proportional to 150,220.50 and 211,297.50 is: 297,207.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,220.50 : 211,297.50 = 211,297.50 : x
  2. Step 2: Convert to fraction form
    150,220.50/211,297.50 = 211,297.50/x
  3. Step 3: Cross multiply
    150,220.50x = 211,297.50 × 211,297.50
  4. Step 4: Simplify right side
    150,220.50x = 44,646,633,506.25
  5. Step 5: Solve for x
    x = 44,646,633,506.25/150,220.50
  6. Step 6: Final answer
    x = 297,207.33

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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.