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Finding the Third Proportional to 217,342 and 332,471

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Solution

The third proportional to 217,342 and 332,471 is: 508,585.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,342 : 332,471 = 332,471 : x
  2. Step 2: Convert to fraction form
    217,342/332,471 = 332,471/x
  3. Step 3: Cross multiply
    217,342x = 332,471 × 332,471
  4. Step 4: Simplify right side
    217,342x = 110,536,965,841
  5. Step 5: Solve for x
    x = 110,536,965,841/217,342
  6. Step 6: Final answer
    x = 508,585.39

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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.