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Finding the Third Proportional to 89,234.50 and 200,940

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Solution

The third proportional to 89,234.50 and 200,940 is: 452,480.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,234.50 : 200,940 = 200,940 : x
  2. Step 2: Convert to fraction form
    89,234.50/200,940 = 200,940/x
  3. Step 3: Cross multiply
    89,234.50x = 200,940 × 200,940
  4. Step 4: Simplify right side
    89,234.50x = 40,376,883,600
  5. Step 5: Solve for x
    x = 40,376,883,600/89,234.50
  6. Step 6: Final answer
    x = 452,480.64

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.