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Finding the Third Proportional to 136,192 and 211,372

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Solution

The third proportional to 136,192 and 211,372 is: 328,052.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,192 : 211,372 = 211,372 : x
  2. Step 2: Convert to fraction form
    136,192/211,372 = 211,372/x
  3. Step 3: Cross multiply
    136,192x = 211,372 × 211,372
  4. Step 4: Simplify right side
    136,192x = 44,678,122,384
  5. Step 5: Solve for x
    x = 44,678,122,384/136,192
  6. Step 6: Final answer
    x = 328,052.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.