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Finding the Third Proportional to 229,022.44 and 336,691.69

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Solution

The third proportional to 229,022.44 and 336,691.69 is: 494,978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,022.44 : 336,691.69 = 336,691.69 : x
  2. Step 2: Convert to fraction form
    229,022.44/336,691.69 = 336,691.69/x
  3. Step 3: Cross multiply
    229,022.44x = 336,691.69 × 336,691.69
  4. Step 4: Simplify right side
    229,022.44x = 113,361,292,431.60
  5. Step 5: Solve for x
    x = 113,361,292,431.60/229,022.44
  6. Step 6: Final answer
    x = 494,978.98

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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.