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Finding the Third Proportional to 152,659 and 223,519

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Solution

The third proportional to 152,659 and 223,519 is: 327,270.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,659 : 223,519 = 223,519 : x
  2. Step 2: Convert to fraction form
    152,659/223,519 = 223,519/x
  3. Step 3: Cross multiply
    152,659x = 223,519 × 223,519
  4. Step 4: Simplify right side
    152,659x = 49,960,743,361
  5. Step 5: Solve for x
    x = 49,960,743,361/152,659
  6. Step 6: Final answer
    x = 327,270.21

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.