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Finding the Third Proportional to 153,150.75 and 236,601

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Solution

The third proportional to 153,150.75 and 236,601 is: 365,522.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,150.75 : 236,601 = 236,601 : x
  2. Step 2: Convert to fraction form
    153,150.75/236,601 = 236,601/x
  3. Step 3: Cross multiply
    153,150.75x = 236,601 × 236,601
  4. Step 4: Simplify right side
    153,150.75x = 55,980,033,201
  5. Step 5: Solve for x
    x = 55,980,033,201/153,150.75
  6. Step 6: Final answer
    x = 365,522.42

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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.