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Finding the Third Proportional to 150,384 and 211,588

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Solution

The third proportional to 150,384 and 211,588 is: 297,701.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,384 : 211,588 = 211,588 : x
  2. Step 2: Convert to fraction form
    150,384/211,588 = 211,588/x
  3. Step 3: Cross multiply
    150,384x = 211,588 × 211,588
  4. Step 4: Simplify right side
    150,384x = 44,769,481,744
  5. Step 5: Solve for x
    x = 44,769,481,744/150,384
  6. Step 6: Final answer
    x = 297,701.10

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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.