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Finding the Third Proportional to 131,403.50 and 283,401

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Solution

The third proportional to 131,403.50 and 283,401 is: 611,217.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,403.50 : 283,401 = 283,401 : x
  2. Step 2: Convert to fraction form
    131,403.50/283,401 = 283,401/x
  3. Step 3: Cross multiply
    131,403.50x = 283,401 × 283,401
  4. Step 4: Simplify right side
    131,403.50x = 80,316,126,801
  5. Step 5: Solve for x
    x = 80,316,126,801/131,403.50
  6. Step 6: Final answer
    x = 611,217.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.