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Finding the Third Proportional to 94,262.50 and 203,285

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Solution

The third proportional to 94,262.50 and 203,285 is: 438,401.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,262.50 : 203,285 = 203,285 : x
  2. Step 2: Convert to fraction form
    94,262.50/203,285 = 203,285/x
  3. Step 3: Cross multiply
    94,262.50x = 203,285 × 203,285
  4. Step 4: Simplify right side
    94,262.50x = 41,324,791,225
  5. Step 5: Solve for x
    x = 41,324,791,225/94,262.50
  6. Step 6: Final answer
    x = 438,401.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.