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Finding the Third Proportional to 215,783.25 and 326,673.56

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Solution

The third proportional to 215,783.25 and 326,673.56 is: 494,550.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,783.25 : 326,673.56 = 326,673.56 : x
  2. Step 2: Convert to fraction form
    215,783.25/326,673.56 = 326,673.56/x
  3. Step 3: Cross multiply
    215,783.25x = 326,673.56 × 326,673.56
  4. Step 4: Simplify right side
    215,783.25x = 106,715,616,436.44
  5. Step 5: Solve for x
    x = 106,715,616,436.44/215,783.25
  6. Step 6: Final answer
    x = 494,550.05

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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.