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Finding the Third Proportional to 216,997.50 and 331,749

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Solution

The third proportional to 216,997.50 and 331,749 is: 507,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,997.50 : 331,749 = 331,749 : x
  2. Step 2: Convert to fraction form
    216,997.50/331,749 = 331,749/x
  3. Step 3: Cross multiply
    216,997.50x = 331,749 × 331,749
  4. Step 4: Simplify right side
    216,997.50x = 110,057,399,001
  5. Step 5: Solve for x
    x = 110,057,399,001/216,997.50
  6. Step 6: Final answer
    x = 507,182.80

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.