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Finding the Third Proportional to 161,956.97 and 254,037.52

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Solution

The third proportional to 161,956.97 and 254,037.52 is: 398,470.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,956.97 : 254,037.52 = 254,037.52 : x
  2. Step 2: Convert to fraction form
    161,956.97/254,037.52 = 254,037.52/x
  3. Step 3: Cross multiply
    161,956.97x = 254,037.52 × 254,037.52
  4. Step 4: Simplify right side
    161,956.97x = 64,535,059,344.92
  5. Step 5: Solve for x
    x = 64,535,059,344.92/161,956.97
  6. Step 6: Final answer
    x = 398,470.41

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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.