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Finding the Third Proportional to 194,181.38 and 262,351.50

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Solution

The third proportional to 194,181.38 and 262,351.50 is: 354,453.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,181.38 : 262,351.50 = 262,351.50 : x
  2. Step 2: Convert to fraction form
    194,181.38/262,351.50 = 262,351.50/x
  3. Step 3: Cross multiply
    194,181.38x = 262,351.50 × 262,351.50
  4. Step 4: Simplify right side
    194,181.38x = 68,828,309,552.25
  5. Step 5: Solve for x
    x = 68,828,309,552.25/194,181.38
  6. Step 6: Final answer
    x = 354,453.71

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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.