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Finding the Third Proportional to 206,478.56 and 302,894.44

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Solution

The third proportional to 206,478.56 and 302,894.44 is: 444,332.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,478.56 : 302,894.44 = 302,894.44 : x
  2. Step 2: Convert to fraction form
    206,478.56/302,894.44 = 302,894.44/x
  3. Step 3: Cross multiply
    206,478.56x = 302,894.44 × 302,894.44
  4. Step 4: Simplify right side
    206,478.56x = 91,745,040,268.44
  5. Step 5: Solve for x
    x = 91,745,040,268.44/206,478.56
  6. Step 6: Final answer
    x = 444,332.04

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.