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Finding the Third Proportional to 194,182 and 262,351

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Solution

The third proportional to 194,182 and 262,351 is: 354,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,182 : 262,351 = 262,351 : x
  2. Step 2: Convert to fraction form
    194,182/262,351 = 262,351/x
  3. Step 3: Cross multiply
    194,182x = 262,351 × 262,351
  4. Step 4: Simplify right side
    194,182x = 68,828,047,201
  5. Step 5: Solve for x
    x = 68,828,047,201/194,182
  6. Step 6: Final answer
    x = 354,451.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.