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Finding the Third Proportional to 213,845.25 and 331,081.88

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Solution

The third proportional to 213,845.25 and 331,081.88 is: 512,591.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,845.25 : 331,081.88 = 331,081.88 : x
  2. Step 2: Convert to fraction form
    213,845.25/331,081.88 = 331,081.88/x
  3. Step 3: Cross multiply
    213,845.25x = 331,081.88 × 331,081.88
  4. Step 4: Simplify right side
    213,845.25x = 109,615,207,953.52
  5. Step 5: Solve for x
    x = 109,615,207,953.52/213,845.25
  6. Step 6: Final answer
    x = 512,591.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.