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Finding the Third Proportional to 183,280.85 and 383,310.91

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Solution

The third proportional to 183,280.85 and 383,310.91 is: 801,650.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,280.85 : 383,310.91 = 383,310.91 : x
  2. Step 2: Convert to fraction form
    183,280.85/383,310.91 = 383,310.91/x
  3. Step 3: Cross multiply
    183,280.85x = 383,310.91 × 383,310.91
  4. Step 4: Simplify right side
    183,280.85x = 146,927,250,101.54
  5. Step 5: Solve for x
    x = 146,927,250,101.54/183,280.85
  6. Step 6: Final answer
    x = 801,650.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.