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Finding the Third Proportional to 169,650.28 and 365,364.84

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Solution

The third proportional to 169,650.28 and 365,364.84 is: 786,862.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,650.28 : 365,364.84 = 365,364.84 : x
  2. Step 2: Convert to fraction form
    169,650.28/365,364.84 = 365,364.84/x
  3. Step 3: Cross multiply
    169,650.28x = 365,364.84 × 365,364.84
  4. Step 4: Simplify right side
    169,650.28x = 133,491,469,048.46
  5. Step 5: Solve for x
    x = 133,491,469,048.46/169,650.28
  6. Step 6: Final answer
    x = 786,862.65

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.