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Finding the Third Proportional to 217,869.75 and 336,575.25

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Solution

The third proportional to 217,869.75 and 336,575.25 is: 519,956.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,869.75 : 336,575.25 = 336,575.25 : x
  2. Step 2: Convert to fraction form
    217,869.75/336,575.25 = 336,575.25/x
  3. Step 3: Cross multiply
    217,869.75x = 336,575.25 × 336,575.25
  4. Step 4: Simplify right side
    217,869.75x = 113,282,898,912.56
  5. Step 5: Solve for x
    x = 113,282,898,912.56/217,869.75
  6. Step 6: Final answer
    x = 519,956.99

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.