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Finding the Third Proportional to 217,314.56 and 332,431.31

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Solution

The third proportional to 217,314.56 and 332,431.31 is: 508,528.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,314.56 : 332,431.31 = 332,431.31 : x
  2. Step 2: Convert to fraction form
    217,314.56/332,431.31 = 332,431.31/x
  3. Step 3: Cross multiply
    217,314.56x = 332,431.31 × 332,431.31
  4. Step 4: Simplify right side
    217,314.56x = 110,510,577,530.47
  5. Step 5: Solve for x
    x = 110,510,577,530.47/217,314.56
  6. Step 6: Final answer
    x = 508,528.17

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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.