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Finding the Third Proportional to 230,854 and 346,949

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Solution

The third proportional to 230,854 and 346,949 is: 521,427.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,854 : 346,949 = 346,949 : x
  2. Step 2: Convert to fraction form
    230,854/346,949 = 346,949/x
  3. Step 3: Cross multiply
    230,854x = 346,949 × 346,949
  4. Step 4: Simplify right side
    230,854x = 120,373,608,601
  5. Step 5: Solve for x
    x = 120,373,608,601/230,854
  6. Step 6: Final answer
    x = 521,427.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.