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Finding the Third Proportional to 152,991 and 327,033

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Solution

The third proportional to 152,991 and 327,033 is: 699,064.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,991 : 327,033 = 327,033 : x
  2. Step 2: Convert to fraction form
    152,991/327,033 = 327,033/x
  3. Step 3: Cross multiply
    152,991x = 327,033 × 327,033
  4. Step 4: Simplify right side
    152,991x = 106,950,583,089
  5. Step 5: Solve for x
    x = 106,950,583,089/152,991
  6. Step 6: Final answer
    x = 699,064.54

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.