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Finding the Third Proportional to 108,801 and 230,664

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Solution

The third proportional to 108,801 and 230,664 is: 489,020.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,801 : 230,664 = 230,664 : x
  2. Step 2: Convert to fraction form
    108,801/230,664 = 230,664/x
  3. Step 3: Cross multiply
    108,801x = 230,664 × 230,664
  4. Step 4: Simplify right side
    108,801x = 53,205,880,896
  5. Step 5: Solve for x
    x = 53,205,880,896/108,801
  6. Step 6: Final answer
    x = 489,020.15

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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.