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Finding the Third Proportional to 230,400 and 366,336

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Solution

The third proportional to 230,400 and 366,336 is: 582,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,400 : 366,336 = 366,336 : x
  2. Step 2: Convert to fraction form
    230,400/366,336 = 366,336/x
  3. Step 3: Cross multiply
    230,400x = 366,336 × 366,336
  4. Step 4: Simplify right side
    230,400x = 134,202,064,896
  5. Step 5: Solve for x
    x = 134,202,064,896/230,400
  6. Step 6: Final answer
    x = 582,474.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.