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Finding the Third Proportional to 150,084 and 211,083

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Solution

The third proportional to 150,084 and 211,083 is: 296,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,084 : 211,083 = 211,083 : x
  2. Step 2: Convert to fraction form
    150,084/211,083 = 211,083/x
  3. Step 3: Cross multiply
    150,084x = 211,083 × 211,083
  4. Step 4: Simplify right side
    150,084x = 44,556,032,889
  5. Step 5: Solve for x
    x = 44,556,032,889/150,084
  6. Step 6: Final answer
    x = 296,873.97

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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.