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Finding the Third Proportional to 269,190 and 365,742

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Solution

The third proportional to 269,190 and 365,742 is: 496,924.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,190 : 365,742 = 365,742 : x
  2. Step 2: Convert to fraction form
    269,190/365,742 = 365,742/x
  3. Step 3: Cross multiply
    269,190x = 365,742 × 365,742
  4. Step 4: Simplify right side
    269,190x = 133,767,210,564
  5. Step 5: Solve for x
    x = 133,767,210,564/269,190
  6. Step 6: Final answer
    x = 496,924.89

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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.