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Finding the Third Proportional to 131,743.50 and 283,467

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Solution

The third proportional to 131,743.50 and 283,467 is: 609,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,743.50 : 283,467 = 283,467 : x
  2. Step 2: Convert to fraction form
    131,743.50/283,467 = 283,467/x
  3. Step 3: Cross multiply
    131,743.50x = 283,467 × 283,467
  4. Step 4: Simplify right side
    131,743.50x = 80,353,540,089
  5. Step 5: Solve for x
    x = 80,353,540,089/131,743.50
  6. Step 6: Final answer
    x = 609,924.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.