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Finding the Third Proportional to 131,433 and 285,006

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Solution

The third proportional to 131,433 and 285,006 is: 618,021.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,433 : 285,006 = 285,006 : x
  2. Step 2: Convert to fraction form
    131,433/285,006 = 285,006/x
  3. Step 3: Cross multiply
    131,433x = 285,006 × 285,006
  4. Step 4: Simplify right side
    131,433x = 81,228,420,036
  5. Step 5: Solve for x
    x = 81,228,420,036/131,433
  6. Step 6: Final answer
    x = 618,021.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.