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Finding the Third Proportional to 131,600.11 and 269,434.69

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Solution

The third proportional to 131,600.11 and 269,434.69 is: 551,633.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,600.11 : 269,434.69 = 269,434.69 : x
  2. Step 2: Convert to fraction form
    131,600.11/269,434.69 = 269,434.69/x
  3. Step 3: Cross multiply
    131,600.11x = 269,434.69 × 269,434.69
  4. Step 4: Simplify right side
    131,600.11x = 72,595,050,828.22
  5. Step 5: Solve for x
    x = 72,595,050,828.22/131,600.11
  6. Step 6: Final answer
    x = 551,633.67

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.