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Finding the Third Proportional to 132,022.50 and 311,350.50

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Solution

The third proportional to 132,022.50 and 311,350.50 is: 734,262.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,022.50 : 311,350.50 = 311,350.50 : x
  2. Step 2: Convert to fraction form
    132,022.50/311,350.50 = 311,350.50/x
  3. Step 3: Cross multiply
    132,022.50x = 311,350.50 × 311,350.50
  4. Step 4: Simplify right side
    132,022.50x = 96,939,133,850.25
  5. Step 5: Solve for x
    x = 96,939,133,850.25/132,022.50
  6. Step 6: Final answer
    x = 734,262.22

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.