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Finding the Third Proportional to 161,832.94 and 253,869.19

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Solution

The third proportional to 161,832.94 and 253,869.19 is: 398,247.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,832.94 : 253,869.19 = 253,869.19 : x
  2. Step 2: Convert to fraction form
    161,832.94/253,869.19 = 253,869.19/x
  3. Step 3: Cross multiply
    161,832.94x = 253,869.19 × 253,869.19
  4. Step 4: Simplify right side
    161,832.94x = 64,449,564,361.91
  5. Step 5: Solve for x
    x = 64,449,564,361.91/161,832.94
  6. Step 6: Final answer
    x = 398,247.51

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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.