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Finding the Third Proportional to 194,393.25 and 304,285.50

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Solution

The third proportional to 194,393.25 and 304,285.50 is: 476,300.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,393.25 : 304,285.50 = 304,285.50 : x
  2. Step 2: Convert to fraction form
    194,393.25/304,285.50 = 304,285.50/x
  3. Step 3: Cross multiply
    194,393.25x = 304,285.50 × 304,285.50
  4. Step 4: Simplify right side
    194,393.25x = 92,589,665,510.25
  5. Step 5: Solve for x
    x = 92,589,665,510.25/194,393.25
  6. Step 6: Final answer
    x = 476,300.83

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.