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Finding the Third Proportional to 230,866 and 346,967

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Solution

The third proportional to 230,866 and 346,967 is: 521,454.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,866 : 346,967 = 346,967 : x
  2. Step 2: Convert to fraction form
    230,866/346,967 = 346,967/x
  3. Step 3: Cross multiply
    230,866x = 346,967 × 346,967
  4. Step 4: Simplify right side
    230,866x = 120,386,099,089
  5. Step 5: Solve for x
    x = 120,386,099,089/230,866
  6. Step 6: Final answer
    x = 521,454.43

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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.