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Finding the Third Proportional to 269,114 and 365,642

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Solution

The third proportional to 269,114 and 365,642 is: 496,793.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,114 : 365,642 = 365,642 : x
  2. Step 2: Convert to fraction form
    269,114/365,642 = 365,642/x
  3. Step 3: Cross multiply
    269,114x = 365,642 × 365,642
  4. Step 4: Simplify right side
    269,114x = 133,694,072,164
  5. Step 5: Solve for x
    x = 133,694,072,164/269,114
  6. Step 6: Final answer
    x = 496,793.45

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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.