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Finding the Third Proportional to 215,824.50 and 326,774.25

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Solution

The third proportional to 215,824.50 and 326,774.25 is: 494,760.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,824.50 : 326,774.25 = 326,774.25 : x
  2. Step 2: Convert to fraction form
    215,824.50/326,774.25 = 326,774.25/x
  3. Step 3: Cross multiply
    215,824.50x = 326,774.25 × 326,774.25
  4. Step 4: Simplify right side
    215,824.50x = 106,781,410,463.06
  5. Step 5: Solve for x
    x = 106,781,410,463.06/215,824.50
  6. Step 6: Final answer
    x = 494,760.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.