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Finding the Third Proportional to 228,025.13 and 315,930.38

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Solution

The third proportional to 228,025.13 and 315,930.38 is: 437,723.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,025.13 : 315,930.38 = 315,930.38 : x
  2. Step 2: Convert to fraction form
    228,025.13/315,930.38 = 315,930.38/x
  3. Step 3: Cross multiply
    228,025.13x = 315,930.38 × 315,930.38
  4. Step 4: Simplify right side
    228,025.13x = 99,812,001,847.64
  5. Step 5: Solve for x
    x = 99,812,001,847.64/228,025.13
  6. Step 6: Final answer
    x = 437,723.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.