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Finding the Third Proportional to 131,635.13 and 226,293.75

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Solution

The third proportional to 131,635.13 and 226,293.75 is: 389,021.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,635.13 : 226,293.75 = 226,293.75 : x
  2. Step 2: Convert to fraction form
    131,635.13/226,293.75 = 226,293.75/x
  3. Step 3: Cross multiply
    131,635.13x = 226,293.75 × 226,293.75
  4. Step 4: Simplify right side
    131,635.13x = 51,208,861,289.06
  5. Step 5: Solve for x
    x = 51,208,861,289.06/131,635.13
  6. Step 6: Final answer
    x = 389,021.25

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Why These Related Problems?

These problems maintain the same ratio (1.72) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.