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Finding the Third Proportional to 131,296 and 191,203

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Solution

The third proportional to 131,296 and 191,203 is: 278,444.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,296 : 191,203 = 191,203 : x
  2. Step 2: Convert to fraction form
    131,296/191,203 = 191,203/x
  3. Step 3: Cross multiply
    131,296x = 191,203 × 191,203
  4. Step 4: Simplify right side
    131,296x = 36,558,587,209
  5. Step 5: Solve for x
    x = 36,558,587,209/131,296
  6. Step 6: Final answer
    x = 278,444.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.