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Finding the Third Proportional to 238,995 and 366,849

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Solution

The third proportional to 238,995 and 366,849 is: 563,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    238,995 : 366,849 = 366,849 : x
  2. Step 2: Convert to fraction form
    238,995/366,849 = 366,849/x
  3. Step 3: Cross multiply
    238,995x = 366,849 × 366,849
  4. Step 4: Simplify right side
    238,995x = 134,578,188,801
  5. Step 5: Solve for x
    x = 134,578,188,801/238,995
  6. Step 6: Final answer
    x = 563,100.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.