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Finding the Third Proportional to 117,794.25 and 245,531.25

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Solution

The third proportional to 117,794.25 and 245,531.25 is: 511,787.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,794.25 : 245,531.25 = 245,531.25 : x
  2. Step 2: Convert to fraction form
    117,794.25/245,531.25 = 245,531.25/x
  3. Step 3: Cross multiply
    117,794.25x = 245,531.25 × 245,531.25
  4. Step 4: Simplify right side
    117,794.25x = 60,285,594,726.56
  5. Step 5: Solve for x
    x = 60,285,594,726.56/117,794.25
  6. Step 6: Final answer
    x = 511,787.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.