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Finding the Third Proportional to 193,306 and 281,195

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Solution

The third proportional to 193,306 and 281,195 is: 409,043.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,306 : 281,195 = 281,195 : x
  2. Step 2: Convert to fraction form
    193,306/281,195 = 281,195/x
  3. Step 3: Cross multiply
    193,306x = 281,195 × 281,195
  4. Step 4: Simplify right side
    193,306x = 79,070,628,025
  5. Step 5: Solve for x
    x = 79,070,628,025/193,306
  6. Step 6: Final answer
    x = 409,043.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.