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Finding the Third Proportional to 131,306 and 191,218

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Solution

The third proportional to 131,306 and 191,218 is: 278,466.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,306 : 191,218 = 191,218 : x
  2. Step 2: Convert to fraction form
    131,306/191,218 = 191,218/x
  3. Step 3: Cross multiply
    131,306x = 191,218 × 191,218
  4. Step 4: Simplify right side
    131,306x = 36,564,323,524
  5. Step 5: Solve for x
    x = 36,564,323,524/131,306
  6. Step 6: Final answer
    x = 278,466.51

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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.