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Finding the Third Proportional to 146,022.75 and 323,746.88

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Solution

The third proportional to 146,022.75 and 323,746.88 is: 717,778.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,022.75 : 323,746.88 = 323,746.88 : x
  2. Step 2: Convert to fraction form
    146,022.75/323,746.88 = 323,746.88/x
  3. Step 3: Cross multiply
    146,022.75x = 323,746.88 × 323,746.88
  4. Step 4: Simplify right side
    146,022.75x = 104,812,039,072.27
  5. Step 5: Solve for x
    x = 104,812,039,072.27/146,022.75
  6. Step 6: Final answer
    x = 717,778.83

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.