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Finding the Third Proportional to 94,314 and 225,225

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Solution

The third proportional to 94,314 and 225,225 is: 537,844.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,314 : 225,225 = 225,225 : x
  2. Step 2: Convert to fraction form
    94,314/225,225 = 225,225/x
  3. Step 3: Cross multiply
    94,314x = 225,225 × 225,225
  4. Step 4: Simplify right side
    94,314x = 50,726,300,625
  5. Step 5: Solve for x
    x = 50,726,300,625/94,314
  6. Step 6: Final answer
    x = 537,844.87

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.