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Finding the Third Proportional to 110,379 and 233,907

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Solution

The third proportional to 110,379 and 233,907 is: 495,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,379 : 233,907 = 233,907 : x
  2. Step 2: Convert to fraction form
    110,379/233,907 = 233,907/x
  3. Step 3: Cross multiply
    110,379x = 233,907 × 233,907
  4. Step 4: Simplify right side
    110,379x = 54,712,484,649
  5. Step 5: Solve for x
    x = 54,712,484,649/110,379
  6. Step 6: Final answer
    x = 495,678.39

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.