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Finding the Third Proportional to 214,590 and 331,749

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Solution

The third proportional to 214,590 and 331,749 is: 512,872.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,590 : 331,749 = 331,749 : x
  2. Step 2: Convert to fraction form
    214,590/331,749 = 331,749/x
  3. Step 3: Cross multiply
    214,590x = 331,749 × 331,749
  4. Step 4: Simplify right side
    214,590x = 110,057,399,001
  5. Step 5: Solve for x
    x = 110,057,399,001/214,590
  6. Step 6: Final answer
    x = 512,872.92

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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.