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Finding the Third Proportional to 234,048 and 319,968

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Solution

The third proportional to 234,048 and 319,968 is: 437,429.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,048 : 319,968 = 319,968 : x
  2. Step 2: Convert to fraction form
    234,048/319,968 = 319,968/x
  3. Step 3: Cross multiply
    234,048x = 319,968 × 319,968
  4. Step 4: Simplify right side
    234,048x = 102,379,521,024
  5. Step 5: Solve for x
    x = 102,379,521,024/234,048
  6. Step 6: Final answer
    x = 437,429.59

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.