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Finding the Third Proportional to 219,648.38 and 298,366.88

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Solution

The third proportional to 219,648.38 and 298,366.88 is: 405,296.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,648.38 : 298,366.88 = 298,366.88 : x
  2. Step 2: Convert to fraction form
    219,648.38/298,366.88 = 298,366.88/x
  3. Step 3: Cross multiply
    219,648.38x = 298,366.88 × 298,366.88
  4. Step 4: Simplify right side
    219,648.38x = 89,022,792,097.27
  5. Step 5: Solve for x
    x = 89,022,792,097.27/219,648.38
  6. Step 6: Final answer
    x = 405,296.84

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.