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Finding the Third Proportional to 229,371.75 and 337,299.19

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Solution

The third proportional to 229,371.75 and 337,299.19 is: 496,010.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,371.75 : 337,299.19 = 337,299.19 : x
  2. Step 2: Convert to fraction form
    229,371.75/337,299.19 = 337,299.19/x
  3. Step 3: Cross multiply
    229,371.75x = 337,299.19 × 337,299.19
  4. Step 4: Simplify right side
    229,371.75x = 113,770,741,888.16
  5. Step 5: Solve for x
    x = 113,770,741,888.16/229,371.75
  6. Step 6: Final answer
    x = 496,010.26

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.