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Finding the Third Proportional to 218,404.50 and 475,269

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Solution

The third proportional to 218,404.50 and 475,269 is: 1,034,230.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,404.50 : 475,269 = 475,269 : x
  2. Step 2: Convert to fraction form
    218,404.50/475,269 = 475,269/x
  3. Step 3: Cross multiply
    218,404.50x = 475,269 × 475,269
  4. Step 4: Simplify right side
    218,404.50x = 225,880,622,361
  5. Step 5: Solve for x
    x = 225,880,622,361/218,404.50
  6. Step 6: Final answer
    x = 1,034,230.62

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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.