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Finding the Third Proportional to 194,382.28 and 304,270.49

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Solution

The third proportional to 194,382.28 and 304,270.49 is: 476,280.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,382.28 : 304,270.49 = 304,270.49 : x
  2. Step 2: Convert to fraction form
    194,382.28/304,270.49 = 304,270.49/x
  3. Step 3: Cross multiply
    194,382.28x = 304,270.49 × 304,270.49
  4. Step 4: Simplify right side
    194,382.28x = 92,580,530,038.91
  5. Step 5: Solve for x
    x = 92,580,530,038.91/194,382.28
  6. Step 6: Final answer
    x = 476,280.71

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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.