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Finding the Third Proportional to 161,819.44 and 253,846.13

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Solution

The third proportional to 161,819.44 and 253,846.13 is: 398,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,819.44 : 253,846.13 = 253,846.13 : x
  2. Step 2: Convert to fraction form
    161,819.44/253,846.13 = 253,846.13/x
  3. Step 3: Cross multiply
    161,819.44x = 253,846.13 × 253,846.13
  4. Step 4: Simplify right side
    161,819.44x = 64,437,855,177.52
  5. Step 5: Solve for x
    x = 64,437,855,177.52/161,819.44
  6. Step 6: Final answer
    x = 398,208.37

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.