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Finding the Third Proportional to 169,887.94 and 254,817.56

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Solution

The third proportional to 169,887.94 and 254,817.56 is: 382,204.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,887.94 : 254,817.56 = 254,817.56 : x
  2. Step 2: Convert to fraction form
    169,887.94/254,817.56 = 254,817.56/x
  3. Step 3: Cross multiply
    169,887.94x = 254,817.56 × 254,817.56
  4. Step 4: Simplify right side
    169,887.94x = 64,931,990,158.44
  5. Step 5: Solve for x
    x = 64,931,990,158.44/169,887.94
  6. Step 6: Final answer
    x = 382,204.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.