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Finding the Third Proportional to 154,698 and 327,699

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Solution

The third proportional to 154,698 and 327,699 is: 694,169.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,698 : 327,699 = 327,699 : x
  2. Step 2: Convert to fraction form
    154,698/327,699 = 327,699/x
  3. Step 3: Cross multiply
    154,698x = 327,699 × 327,699
  4. Step 4: Simplify right side
    154,698x = 107,386,634,601
  5. Step 5: Solve for x
    x = 107,386,634,601/154,698
  6. Step 6: Final answer
    x = 694,169.51

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.