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Finding the Third Proportional to 84,287.25 and 179,303.63

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Solution

The third proportional to 84,287.25 and 179,303.63 is: 381,431.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,287.25 : 179,303.63 = 179,303.63 : x
  2. Step 2: Convert to fraction form
    84,287.25/179,303.63 = 179,303.63/x
  3. Step 3: Cross multiply
    84,287.25x = 179,303.63 × 179,303.63
  4. Step 4: Simplify right side
    84,287.25x = 32,149,789,938.14
  5. Step 5: Solve for x
    x = 32,149,789,938.14/84,287.25
  6. Step 6: Final answer
    x = 381,431.24

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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.