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Finding the Third Proportional to 106,246.50 and 231,811.50

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Solution

The third proportional to 106,246.50 and 231,811.50 is: 505,772.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,246.50 : 231,811.50 = 231,811.50 : x
  2. Step 2: Convert to fraction form
    106,246.50/231,811.50 = 231,811.50/x
  3. Step 3: Cross multiply
    106,246.50x = 231,811.50 × 231,811.50
  4. Step 4: Simplify right side
    106,246.50x = 53,736,571,532.25
  5. Step 5: Solve for x
    x = 53,736,571,532.25/106,246.50
  6. Step 6: Final answer
    x = 505,772.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.