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Finding the Third Proportional to 94,234 and 203,229

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Solution

The third proportional to 94,234 and 203,229 is: 438,292.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,234 : 203,229 = 203,229 : x
  2. Step 2: Convert to fraction form
    94,234/203,229 = 203,229/x
  3. Step 3: Cross multiply
    94,234x = 203,229 × 203,229
  4. Step 4: Simplify right side
    94,234x = 41,302,026,441
  5. Step 5: Solve for x
    x = 41,302,026,441/94,234
  6. Step 6: Final answer
    x = 438,292.19

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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.