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Finding the Third Proportional to 149,863.50 and 194,653.13

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Solution

The third proportional to 149,863.50 and 194,653.13 is: 252,829.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,863.50 : 194,653.13 = 194,653.13 : x
  2. Step 2: Convert to fraction form
    149,863.50/194,653.13 = 194,653.13/x
  3. Step 3: Cross multiply
    149,863.50x = 194,653.13 × 194,653.13
  4. Step 4: Simplify right side
    149,863.50x = 37,889,839,072.27
  5. Step 5: Solve for x
    x = 37,889,839,072.27/149,863.50
  6. Step 6: Final answer
    x = 252,829.00

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.