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Finding the Third Proportional to 231,168 and 366,144

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Solution

The third proportional to 231,168 and 366,144 is: 579,930.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,168 : 366,144 = 366,144 : x
  2. Step 2: Convert to fraction form
    231,168/366,144 = 366,144/x
  3. Step 3: Cross multiply
    231,168x = 366,144 × 366,144
  4. Step 4: Simplify right side
    231,168x = 134,061,428,736
  5. Step 5: Solve for x
    x = 134,061,428,736/231,168
  6. Step 6: Final answer
    x = 579,930.74

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.