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Finding the Third Proportional to 169,568 and 365,380

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Solution

The third proportional to 169,568 and 365,380 is: 787,309.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,568 : 365,380 = 365,380 : x
  2. Step 2: Convert to fraction form
    169,568/365,380 = 365,380/x
  3. Step 3: Cross multiply
    169,568x = 365,380 × 365,380
  4. Step 4: Simplify right side
    169,568x = 133,502,544,400
  5. Step 5: Solve for x
    x = 133,502,544,400/169,568
  6. Step 6: Final answer
    x = 787,309.78

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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.