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Finding the Third Proportional to 193,259 and 281,491

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Solution

The third proportional to 193,259 and 281,491 is: 410,005.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,259 : 281,491 = 281,491 : x
  2. Step 2: Convert to fraction form
    193,259/281,491 = 281,491/x
  3. Step 3: Cross multiply
    193,259x = 281,491 × 281,491
  4. Step 4: Simplify right side
    193,259x = 79,237,183,081
  5. Step 5: Solve for x
    x = 79,237,183,081/193,259
  6. Step 6: Final answer
    x = 410,005.14

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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.