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Finding the Third Proportional to 150,033 and 211,005

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Solution

The third proportional to 150,033 and 211,005 is: 296,755.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,033 : 211,005 = 211,005 : x
  2. Step 2: Convert to fraction form
    150,033/211,005 = 211,005/x
  3. Step 3: Cross multiply
    150,033x = 211,005 × 211,005
  4. Step 4: Simplify right side
    150,033x = 44,523,110,025
  5. Step 5: Solve for x
    x = 44,523,110,025/150,033
  6. Step 6: Final answer
    x = 296,755.45

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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.