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Finding the Third Proportional to 217,672.50 and 336,359.63

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Solution

The third proportional to 217,672.50 and 336,359.63 is: 519,761.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,672.50 : 336,359.63 = 336,359.63 : x
  2. Step 2: Convert to fraction form
    217,672.50/336,359.63 = 336,359.63/x
  3. Step 3: Cross multiply
    217,672.50x = 336,359.63 × 336,359.63
  4. Step 4: Simplify right side
    217,672.50x = 113,137,797,330.14
  5. Step 5: Solve for x
    x = 113,137,797,330.14/217,672.50
  6. Step 6: Final answer
    x = 519,761.56

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.