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Finding the Third Proportional to 233,508 and 332,766

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Solution

The third proportional to 233,508 and 332,766 is: 474,215.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,508 : 332,766 = 332,766 : x
  2. Step 2: Convert to fraction form
    233,508/332,766 = 332,766/x
  3. Step 3: Cross multiply
    233,508x = 332,766 × 332,766
  4. Step 4: Simplify right side
    233,508x = 110,733,210,756
  5. Step 5: Solve for x
    x = 110,733,210,756/233,508
  6. Step 6: Final answer
    x = 474,215.92

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.