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Finding the Third Proportional to 269,184 and 365,733

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Solution

The third proportional to 269,184 and 365,733 is: 496,911.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,184 : 365,733 = 365,733 : x
  2. Step 2: Convert to fraction form
    269,184/365,733 = 365,733/x
  3. Step 3: Cross multiply
    269,184x = 365,733 × 365,733
  4. Step 4: Simplify right side
    269,184x = 133,760,627,289
  5. Step 5: Solve for x
    x = 133,760,627,289/269,184
  6. Step 6: Final answer
    x = 496,911.51

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