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Finding the Third Proportional to 131,050 and 280,796

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Solution

The third proportional to 131,050 and 280,796 is: 601,651.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,050 : 280,796 = 280,796 : x
  2. Step 2: Convert to fraction form
    131,050/280,796 = 280,796/x
  3. Step 3: Cross multiply
    131,050x = 280,796 × 280,796
  4. Step 4: Simplify right side
    131,050x = 78,846,393,616
  5. Step 5: Solve for x
    x = 78,846,393,616/131,050
  6. Step 6: Final answer
    x = 601,651.23

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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.