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Finding the Third Proportional to 152,269 and 327,868

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Solution

The third proportional to 152,269 and 327,868 is: 705,970.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,269 : 327,868 = 327,868 : x
  2. Step 2: Convert to fraction form
    152,269/327,868 = 327,868/x
  3. Step 3: Cross multiply
    152,269x = 327,868 × 327,868
  4. Step 4: Simplify right side
    152,269x = 107,497,425,424
  5. Step 5: Solve for x
    x = 107,497,425,424/152,269
  6. Step 6: Final answer
    x = 705,970.52

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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.