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Finding the Third Proportional to 94,232.50 and 204,825

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Solution

The third proportional to 94,232.50 and 204,825 is: 445,210.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,232.50 : 204,825 = 204,825 : x
  2. Step 2: Convert to fraction form
    94,232.50/204,825 = 204,825/x
  3. Step 3: Cross multiply
    94,232.50x = 204,825 × 204,825
  4. Step 4: Simplify right side
    94,232.50x = 41,953,280,625
  5. Step 5: Solve for x
    x = 41,953,280,625/94,232.50
  6. Step 6: Final answer
    x = 445,210.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.