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Finding the Third Proportional to 194,180.75 and 262,349.88

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Solution

The third proportional to 194,180.75 and 262,349.88 is: 354,450.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,180.75 : 262,349.88 = 262,349.88 : x
  2. Step 2: Convert to fraction form
    194,180.75/262,349.88 = 262,349.88/x
  3. Step 3: Cross multiply
    194,180.75x = 262,349.88 × 262,349.88
  4. Step 4: Simplify right side
    194,180.75x = 68,827,456,912.52
  5. Step 5: Solve for x
    x = 68,827,456,912.52/194,180.75
  6. Step 6: Final answer
    x = 354,450.46

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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.