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Finding the Third Proportional to 269,110.69 and 365,635.69

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Solution

The third proportional to 269,110.69 and 365,635.69 is: 496,782.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,110.69 : 365,635.69 = 365,635.69 : x
  2. Step 2: Convert to fraction form
    269,110.69/365,635.69 = 365,635.69/x
  3. Step 3: Cross multiply
    269,110.69x = 365,635.69 × 365,635.69
  4. Step 4: Simplify right side
    269,110.69x = 133,689,455,973.60
  5. Step 5: Solve for x
    x = 133,689,455,973.60/269,110.69
  6. Step 6: Final answer
    x = 496,782.41

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.