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Finding the Third Proportional to 268,625 and 365,037

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Solution

The third proportional to 268,625 and 365,037 is: 496,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,625 : 365,037 = 365,037 : x
  2. Step 2: Convert to fraction form
    268,625/365,037 = 365,037/x
  3. Step 3: Cross multiply
    268,625x = 365,037 × 365,037
  4. Step 4: Simplify right side
    268,625x = 133,252,011,369
  5. Step 5: Solve for x
    x = 133,252,011,369/268,625
  6. Step 6: Final answer
    x = 496,052.16

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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.