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Finding the Third Proportional to 217,042.50 and 339,456

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Solution

The third proportional to 217,042.50 and 339,456 is: 530,911.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,042.50 : 339,456 = 339,456 : x
  2. Step 2: Convert to fraction form
    217,042.50/339,456 = 339,456/x
  3. Step 3: Cross multiply
    217,042.50x = 339,456 × 339,456
  4. Step 4: Simplify right side
    217,042.50x = 115,230,375,936
  5. Step 5: Solve for x
    x = 115,230,375,936/217,042.50
  6. Step 6: Final answer
    x = 530,911.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.