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Finding the Third Proportional to 193,240.69 and 291,979.69

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Solution

The third proportional to 193,240.69 and 291,979.69 is: 441,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,240.69 : 291,979.69 = 291,979.69 : x
  2. Step 2: Convert to fraction form
    193,240.69/291,979.69 = 291,979.69/x
  3. Step 3: Cross multiply
    193,240.69x = 291,979.69 × 291,979.69
  4. Step 4: Simplify right side
    193,240.69x = 85,252,137,912.60
  5. Step 5: Solve for x
    x = 85,252,137,912.60/193,240.69
  6. Step 6: Final answer
    x = 441,170.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.