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Finding the Third Proportional to 149,348.25 and 236,601

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Solution

The third proportional to 149,348.25 and 236,601 is: 374,828.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,348.25 : 236,601 = 236,601 : x
  2. Step 2: Convert to fraction form
    149,348.25/236,601 = 236,601/x
  3. Step 3: Cross multiply
    149,348.25x = 236,601 × 236,601
  4. Step 4: Simplify right side
    149,348.25x = 55,980,033,201
  5. Step 5: Solve for x
    x = 55,980,033,201/149,348.25
  6. Step 6: Final answer
    x = 374,828.85

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.