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Finding the Third Proportional to 75,353.44 and 162,538.22

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Solution

The third proportional to 75,353.44 and 162,538.22 is: 350,596.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,353.44 : 162,538.22 = 162,538.22 : x
  2. Step 2: Convert to fraction form
    75,353.44/162,538.22 = 162,538.22/x
  3. Step 3: Cross multiply
    75,353.44x = 162,538.22 × 162,538.22
  4. Step 4: Simplify right side
    75,353.44x = 26,418,672,554.42
  5. Step 5: Solve for x
    x = 26,418,672,554.42/75,353.44
  6. Step 6: Final answer
    x = 350,596.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.