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Finding the Third Proportional to 194,769.50 and 304,456

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Solution

The third proportional to 194,769.50 and 304,456 is: 475,913.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,769.50 : 304,456 = 304,456 : x
  2. Step 2: Convert to fraction form
    194,769.50/304,456 = 304,456/x
  3. Step 3: Cross multiply
    194,769.50x = 304,456 × 304,456
  4. Step 4: Simplify right side
    194,769.50x = 92,693,455,936
  5. Step 5: Solve for x
    x = 92,693,455,936/194,769.50
  6. Step 6: Final answer
    x = 475,913.61

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.