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Finding the Third Proportional to 169,344 and 367,200

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Solution

The third proportional to 169,344 and 367,200 is: 796,224.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,344 : 367,200 = 367,200 : x
  2. Step 2: Convert to fraction form
    169,344/367,200 = 367,200/x
  3. Step 3: Cross multiply
    169,344x = 367,200 × 367,200
  4. Step 4: Simplify right side
    169,344x = 134,835,840,000
  5. Step 5: Solve for x
    x = 134,835,840,000/169,344
  6. Step 6: Final answer
    x = 796,224.49

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.