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Finding the Third Proportional to 230,866 and 346,305

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Solution

The third proportional to 230,866 and 346,305 is: 519,466.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,866 : 346,305 = 346,305 : x
  2. Step 2: Convert to fraction form
    230,866/346,305 = 346,305/x
  3. Step 3: Cross multiply
    230,866x = 346,305 × 346,305
  4. Step 4: Simplify right side
    230,866x = 119,927,153,025
  5. Step 5: Solve for x
    x = 119,927,153,025/230,866
  6. Step 6: Final answer
    x = 519,466.50

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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.