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Finding the Third Proportional to 217,834.50 and 333,159.75

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Solution

The third proportional to 217,834.50 and 333,159.75 is: 509,540.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,834.50 : 333,159.75 = 333,159.75 : x
  2. Step 2: Convert to fraction form
    217,834.50/333,159.75 = 333,159.75/x
  3. Step 3: Cross multiply
    217,834.50x = 333,159.75 × 333,159.75
  4. Step 4: Simplify right side
    217,834.50x = 110,995,419,020.06
  5. Step 5: Solve for x
    x = 110,995,419,020.06/217,834.50
  6. Step 6: Final answer
    x = 509,540.13

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.