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Finding the Third Proportional to 230,245 and 330,544

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Solution

The third proportional to 230,245 and 330,544 is: 474,535.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,245 : 330,544 = 330,544 : x
  2. Step 2: Convert to fraction form
    230,245/330,544 = 330,544/x
  3. Step 3: Cross multiply
    230,245x = 330,544 × 330,544
  4. Step 4: Simplify right side
    230,245x = 109,259,335,936
  5. Step 5: Solve for x
    x = 109,259,335,936/230,245
  6. Step 6: Final answer
    x = 474,535.11

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.