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Finding the Third Proportional to 269,128 and 365,672

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Solution

The third proportional to 269,128 and 365,672 is: 496,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,128 : 365,672 = 365,672 : x
  2. Step 2: Convert to fraction form
    269,128/365,672 = 365,672/x
  3. Step 3: Cross multiply
    269,128x = 365,672 × 365,672
  4. Step 4: Simplify right side
    269,128x = 133,716,011,584
  5. Step 5: Solve for x
    x = 133,716,011,584/269,128
  6. Step 6: Final answer
    x = 496,849.13

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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.