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Finding the Third Proportional to 234,048 and 342,741

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Solution

The third proportional to 234,048 and 342,741 is: 501,911.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,048 : 342,741 = 342,741 : x
  2. Step 2: Convert to fraction form
    234,048/342,741 = 342,741/x
  3. Step 3: Cross multiply
    234,048x = 342,741 × 342,741
  4. Step 4: Simplify right side
    234,048x = 117,471,393,081
  5. Step 5: Solve for x
    x = 117,471,393,081/234,048
  6. Step 6: Final answer
    x = 501,911.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.