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Finding the Third Proportional to 131,002.50 and 280,698

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Solution

The third proportional to 131,002.50 and 280,698 is: 601,449.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,002.50 : 280,698 = 280,698 : x
  2. Step 2: Convert to fraction form
    131,002.50/280,698 = 280,698/x
  3. Step 3: Cross multiply
    131,002.50x = 280,698 × 280,698
  4. Step 4: Simplify right side
    131,002.50x = 78,791,367,204
  5. Step 5: Solve for x
    x = 78,791,367,204/131,002.50
  6. Step 6: Final answer
    x = 601,449.34

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.