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Finding the Third Proportional to 113,215.50 and 231,346.69

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Solution

The third proportional to 113,215.50 and 231,346.69 is: 472,738.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,215.50 : 231,346.69 = 231,346.69 : x
  2. Step 2: Convert to fraction form
    113,215.50/231,346.69 = 231,346.69/x
  3. Step 3: Cross multiply
    113,215.50x = 231,346.69 × 231,346.69
  4. Step 4: Simplify right side
    113,215.50x = 53,521,289,817.22
  5. Step 5: Solve for x
    x = 53,521,289,817.22/113,215.50
  6. Step 6: Final answer
    x = 472,738.18

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.