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Finding the Third Proportional to 131,037 and 280,771.50

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Solution

The third proportional to 131,037 and 280,771.50 is: 601,605.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,037 : 280,771.50 = 280,771.50 : x
  2. Step 2: Convert to fraction form
    131,037/280,771.50 = 280,771.50/x
  3. Step 3: Cross multiply
    131,037x = 280,771.50 × 280,771.50
  4. Step 4: Simplify right side
    131,037x = 78,832,635,212.25
  5. Step 5: Solve for x
    x = 78,832,635,212.25/131,037
  6. Step 6: Final answer
    x = 601,605.92

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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.