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Finding the Third Proportional to 218,472.75 and 335,322

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Solution

The third proportional to 218,472.75 and 335,322 is: 514,667.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,472.75 : 335,322 = 335,322 : x
  2. Step 2: Convert to fraction form
    218,472.75/335,322 = 335,322/x
  3. Step 3: Cross multiply
    218,472.75x = 335,322 × 335,322
  4. Step 4: Simplify right side
    218,472.75x = 112,440,843,684
  5. Step 5: Solve for x
    x = 112,440,843,684/218,472.75
  6. Step 6: Final answer
    x = 514,667.59

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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.