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Finding the Third Proportional to 229,906.50 and 501,191

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Solution

The third proportional to 229,906.50 and 501,191 is: 1,092,585.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,906.50 : 501,191 = 501,191 : x
  2. Step 2: Convert to fraction form
    229,906.50/501,191 = 501,191/x
  3. Step 3: Cross multiply
    229,906.50x = 501,191 × 501,191
  4. Step 4: Simplify right side
    229,906.50x = 251,192,418,481
  5. Step 5: Solve for x
    x = 251,192,418,481/229,906.50
  6. Step 6: Final answer
    x = 1,092,585.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.