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Finding the Third Proportional to 179,291.25 and 386,245.13

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Solution

The third proportional to 179,291.25 and 386,245.13 is: 832,083.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,291.25 : 386,245.13 = 386,245.13 : x
  2. Step 2: Convert to fraction form
    179,291.25/386,245.13 = 386,245.13/x
  3. Step 3: Cross multiply
    179,291.25x = 386,245.13 × 386,245.13
  4. Step 4: Simplify right side
    179,291.25x = 149,185,296,586.27
  5. Step 5: Solve for x
    x = 149,185,296,586.27/179,291.25
  6. Step 6: Final answer
    x = 832,083.53

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.