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Finding the Third Proportional to 94,243 and 203,247

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Solution

The third proportional to 94,243 and 203,247 is: 438,327.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,243 : 203,247 = 203,247 : x
  2. Step 2: Convert to fraction form
    94,243/203,247 = 203,247/x
  3. Step 3: Cross multiply
    94,243x = 203,247 × 203,247
  4. Step 4: Simplify right side
    94,243x = 41,309,343,009
  5. Step 5: Solve for x
    x = 41,309,343,009/94,243
  6. Step 6: Final answer
    x = 438,327.97

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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.