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Finding the Third Proportional to 133,991.50 and 213,287

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Solution

The third proportional to 133,991.50 and 213,287 is: 339,509.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,991.50 : 213,287 = 213,287 : x
  2. Step 2: Convert to fraction form
    133,991.50/213,287 = 213,287/x
  3. Step 3: Cross multiply
    133,991.50x = 213,287 × 213,287
  4. Step 4: Simplify right side
    133,991.50x = 45,491,344,369
  5. Step 5: Solve for x
    x = 45,491,344,369/133,991.50
  6. Step 6: Final answer
    x = 339,509.18

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.