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Finding the Third Proportional to 217,364.50 and 332,530

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Solution

The third proportional to 217,364.50 and 332,530 is: 508,713.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,364.50 : 332,530 = 332,530 : x
  2. Step 2: Convert to fraction form
    217,364.50/332,530 = 332,530/x
  3. Step 3: Cross multiply
    217,364.50x = 332,530 × 332,530
  4. Step 4: Simplify right side
    217,364.50x = 110,576,200,900
  5. Step 5: Solve for x
    x = 110,576,200,900/217,364.50
  6. Step 6: Final answer
    x = 508,713.25

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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.