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Finding the Third Proportional to 84,291.75 and 179,309.25

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Solution

The third proportional to 84,291.75 and 179,309.25 is: 381,434.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,291.75 : 179,309.25 = 179,309.25 : x
  2. Step 2: Convert to fraction form
    84,291.75/179,309.25 = 179,309.25/x
  3. Step 3: Cross multiply
    84,291.75x = 179,309.25 × 179,309.25
  4. Step 4: Simplify right side
    84,291.75x = 32,151,807,135.56
  5. Step 5: Solve for x
    x = 32,151,807,135.56/84,291.75
  6. Step 6: Final answer
    x = 381,434.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.