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Finding the Third Proportional to 194,247.50 and 457,896.50

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Solution

The third proportional to 194,247.50 and 457,896.50 is: 1,079,392.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,247.50 : 457,896.50 = 457,896.50 : x
  2. Step 2: Convert to fraction form
    194,247.50/457,896.50 = 457,896.50/x
  3. Step 3: Cross multiply
    194,247.50x = 457,896.50 × 457,896.50
  4. Step 4: Simplify right side
    194,247.50x = 209,669,204,712.25
  5. Step 5: Solve for x
    x = 209,669,204,712.25/194,247.50
  6. Step 6: Final answer
    x = 1,079,392.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.