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Finding the Third Proportional to 104,925 and 226,601

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Solution

The third proportional to 104,925 and 226,601 is: 489,378.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,925 : 226,601 = 226,601 : x
  2. Step 2: Convert to fraction form
    104,925/226,601 = 226,601/x
  3. Step 3: Cross multiply
    104,925x = 226,601 × 226,601
  4. Step 4: Simplify right side
    104,925x = 51,348,013,201
  5. Step 5: Solve for x
    x = 51,348,013,201/104,925
  6. Step 6: Final answer
    x = 489,378.25

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.