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Finding the Third Proportional to 152,266 and 327,862

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Solution

The third proportional to 152,266 and 327,862 is: 705,958.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,266 : 327,862 = 327,862 : x
  2. Step 2: Convert to fraction form
    152,266/327,862 = 327,862/x
  3. Step 3: Cross multiply
    152,266x = 327,862 × 327,862
  4. Step 4: Simplify right side
    152,266x = 107,493,491,044
  5. Step 5: Solve for x
    x = 107,493,491,044/152,266
  6. Step 6: Final answer
    x = 705,958.59

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.