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Finding the Third Proportional to 147,338 and 226,601

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Solution

The third proportional to 147,338 and 226,601 is: 348,504.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,338 : 226,601 = 226,601 : x
  2. Step 2: Convert to fraction form
    147,338/226,601 = 226,601/x
  3. Step 3: Cross multiply
    147,338x = 226,601 × 226,601
  4. Step 4: Simplify right side
    147,338x = 51,348,013,201
  5. Step 5: Solve for x
    x = 51,348,013,201/147,338
  6. Step 6: Final answer
    x = 348,504.89

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.