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Finding the Third Proportional to 194,794.03 and 299,215.69

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Solution

The third proportional to 194,794.03 and 299,215.69 is: 459,613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,794.03 : 299,215.69 = 299,215.69 : x
  2. Step 2: Convert to fraction form
    194,794.03/299,215.69 = 299,215.69/x
  3. Step 3: Cross multiply
    194,794.03x = 299,215.69 × 299,215.69
  4. Step 4: Simplify right side
    194,794.03x = 89,530,027,646.10
  5. Step 5: Solve for x
    x = 89,530,027,646.10/194,794.03
  6. Step 6: Final answer
    x = 459,613.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.