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Finding the Third Proportional to 105,633 and 234,879

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Solution

The third proportional to 105,633 and 234,879 is: 522,262.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,633 : 234,879 = 234,879 : x
  2. Step 2: Convert to fraction form
    105,633/234,879 = 234,879/x
  3. Step 3: Cross multiply
    105,633x = 234,879 × 234,879
  4. Step 4: Simplify right side
    105,633x = 55,168,144,641
  5. Step 5: Solve for x
    x = 55,168,144,641/105,633
  6. Step 6: Final answer
    x = 522,262.41

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.