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Finding the Third Proportional to 230,968 and 361,036

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Solution

The third proportional to 230,968 and 361,036 is: 564,350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,968 : 361,036 = 361,036 : x
  2. Step 2: Convert to fraction form
    230,968/361,036 = 361,036/x
  3. Step 3: Cross multiply
    230,968x = 361,036 × 361,036
  4. Step 4: Simplify right side
    230,968x = 130,346,993,296
  5. Step 5: Solve for x
    x = 130,346,993,296/230,968
  6. Step 6: Final answer
    x = 564,350.88

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.