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Finding the Third Proportional to 193,788 and 402,156

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Solution

The third proportional to 193,788 and 402,156 is: 834,568.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,788 : 402,156 = 402,156 : x
  2. Step 2: Convert to fraction form
    193,788/402,156 = 402,156/x
  3. Step 3: Cross multiply
    193,788x = 402,156 × 402,156
  4. Step 4: Simplify right side
    193,788x = 161,729,448,336
  5. Step 5: Solve for x
    x = 161,729,448,336/193,788
  6. Step 6: Final answer
    x = 834,568.95

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.