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Finding the Third Proportional to 180,221.20 and 383,736.23

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Solution

The third proportional to 180,221.20 and 383,736.23 is: 817,070.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,221.20 : 383,736.23 = 383,736.23 : x
  2. Step 2: Convert to fraction form
    180,221.20/383,736.23 = 383,736.23/x
  3. Step 3: Cross multiply
    180,221.20x = 383,736.23 × 383,736.23
  4. Step 4: Simplify right side
    180,221.20x = 147,253,497,572.31
  5. Step 5: Solve for x
    x = 147,253,497,572.31/180,221.20
  6. Step 6: Final answer
    x = 817,070.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.