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Finding the Third Proportional to 217,314.14 and 332,431.59

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Solution

The third proportional to 217,314.14 and 332,431.59 is: 508,530.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,314.14 : 332,431.59 = 332,431.59 : x
  2. Step 2: Convert to fraction form
    217,314.14/332,431.59 = 332,431.59/x
  3. Step 3: Cross multiply
    217,314.14x = 332,431.59 × 332,431.59
  4. Step 4: Simplify right side
    217,314.14x = 110,510,764,523.17
  5. Step 5: Solve for x
    x = 110,510,764,523.17/217,314.14
  6. Step 6: Final answer
    x = 508,530.02

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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.