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Finding the Third Proportional to 94,405 and 205,245

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Solution

The third proportional to 94,405 and 205,245 is: 446,221.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,405 : 205,245 = 205,245 : x
  2. Step 2: Convert to fraction form
    94,405/205,245 = 205,245/x
  3. Step 3: Cross multiply
    94,405x = 205,245 × 205,245
  4. Step 4: Simplify right side
    94,405x = 42,125,510,025
  5. Step 5: Solve for x
    x = 42,125,510,025/94,405
  6. Step 6: Final answer
    x = 446,221.17

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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.