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Finding the Third Proportional to 131,025.09 and 280,733.91

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Solution

The third proportional to 131,025.09 and 280,733.91 is: 601,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,025.09 : 280,733.91 = 280,733.91 : x
  2. Step 2: Convert to fraction form
    131,025.09/280,733.91 = 280,733.91/x
  3. Step 3: Cross multiply
    131,025.09x = 280,733.91 × 280,733.91
  4. Step 4: Simplify right side
    131,025.09x = 78,811,526,118.38
  5. Step 5: Solve for x
    x = 78,811,526,118.38/131,025.09
  6. Step 6: Final answer
    x = 601,499.48

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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.