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Finding the Third Proportional to 150,393 and 211,599

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Solution

The third proportional to 150,393 and 211,599 is: 297,714.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,393 : 211,599 = 211,599 : x
  2. Step 2: Convert to fraction form
    150,393/211,599 = 211,599/x
  3. Step 3: Cross multiply
    150,393x = 211,599 × 211,599
  4. Step 4: Simplify right side
    150,393x = 44,774,136,801
  5. Step 5: Solve for x
    x = 44,774,136,801/150,393
  6. Step 6: Final answer
    x = 297,714.23

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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.