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Finding the Third Proportional to 109,828 and 232,616

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Solution

The third proportional to 109,828 and 232,616 is: 492,681.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,828 : 232,616 = 232,616 : x
  2. Step 2: Convert to fraction form
    109,828/232,616 = 232,616/x
  3. Step 3: Cross multiply
    109,828x = 232,616 × 232,616
  4. Step 4: Simplify right side
    109,828x = 54,110,203,456
  5. Step 5: Solve for x
    x = 54,110,203,456/109,828
  6. Step 6: Final answer
    x = 492,681.31

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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.