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Finding the Third Proportional to 194,827.78 and 311,229.84

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Solution

The third proportional to 194,827.78 and 311,229.84 is: 497,177.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,827.78 : 311,229.84 = 311,229.84 : x
  2. Step 2: Convert to fraction form
    194,827.78/311,229.84 = 311,229.84/x
  3. Step 3: Cross multiply
    194,827.78x = 311,229.84 × 311,229.84
  4. Step 4: Simplify right side
    194,827.78x = 96,864,015,640.65
  5. Step 5: Solve for x
    x = 96,864,015,640.65/194,827.78
  6. Step 6: Final answer
    x = 497,177.64

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.