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Finding the Third Proportional to 131,324 and 191,241

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Solution

The third proportional to 131,324 and 191,241 is: 278,495.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,324 : 191,241 = 191,241 : x
  2. Step 2: Convert to fraction form
    131,324/191,241 = 191,241/x
  3. Step 3: Cross multiply
    131,324x = 191,241 × 191,241
  4. Step 4: Simplify right side
    131,324x = 36,573,120,081
  5. Step 5: Solve for x
    x = 36,573,120,081/131,324
  6. Step 6: Final answer
    x = 278,495.33

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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.