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Finding the Third Proportional to 82,803.38 and 179,609.63

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Solution

The third proportional to 82,803.38 and 179,609.63 is: 389,593.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,803.38 : 179,609.63 = 179,609.63 : x
  2. Step 2: Convert to fraction form
    82,803.38/179,609.63 = 179,609.63/x
  3. Step 3: Cross multiply
    82,803.38x = 179,609.63 × 179,609.63
  4. Step 4: Simplify right side
    82,803.38x = 32,259,617,392.64
  5. Step 5: Solve for x
    x = 32,259,617,392.64/82,803.38
  6. Step 6: Final answer
    x = 389,593.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.