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Finding the Third Proportional to 217,333.50 and 332,458

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Solution

The third proportional to 217,333.50 and 332,458 is: 508,565.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,333.50 : 332,458 = 332,458 : x
  2. Step 2: Convert to fraction form
    217,333.50/332,458 = 332,458/x
  3. Step 3: Cross multiply
    217,333.50x = 332,458 × 332,458
  4. Step 4: Simplify right side
    217,333.50x = 110,528,321,764
  5. Step 5: Solve for x
    x = 110,528,321,764/217,333.50
  6. Step 6: Final answer
    x = 508,565.51

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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.