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Finding the Third Proportional to 131,002.75 and 280,698.50

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Solution

The third proportional to 131,002.75 and 280,698.50 is: 601,450.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,002.75 : 280,698.50 = 280,698.50 : x
  2. Step 2: Convert to fraction form
    131,002.75/280,698.50 = 280,698.50/x
  3. Step 3: Cross multiply
    131,002.75x = 280,698.50 × 280,698.50
  4. Step 4: Simplify right side
    131,002.75x = 78,791,647,902.25
  5. Step 5: Solve for x
    x = 78,791,647,902.25/131,002.75
  6. Step 6: Final answer
    x = 601,450.34

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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.