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Finding the Third Proportional to 217,434 and 332,635.50

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Solution

The third proportional to 217,434 and 332,635.50 is: 508,873.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,434 : 332,635.50 = 332,635.50 : x
  2. Step 2: Convert to fraction form
    217,434/332,635.50 = 332,635.50/x
  3. Step 3: Cross multiply
    217,434x = 332,635.50 × 332,635.50
  4. Step 4: Simplify right side
    217,434x = 110,646,375,860.25
  5. Step 5: Solve for x
    x = 110,646,375,860.25/217,434
  6. Step 6: Final answer
    x = 508,873.39

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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.