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Finding the Third Proportional to 150,065 and 211,057

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Solution

The third proportional to 150,065 and 211,057 is: 296,838.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,065 : 211,057 = 211,057 : x
  2. Step 2: Convert to fraction form
    150,065/211,057 = 211,057/x
  3. Step 3: Cross multiply
    150,065x = 211,057 × 211,057
  4. Step 4: Simplify right side
    150,065x = 44,545,057,249
  5. Step 5: Solve for x
    x = 44,545,057,249/150,065
  6. Step 6: Final answer
    x = 296,838.42

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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.