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Finding the Third Proportional to 233,601.75 and 367,003.88

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Solution

The third proportional to 233,601.75 and 367,003.88 is: 576,587.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,601.75 : 367,003.88 = 367,003.88 : x
  2. Step 2: Convert to fraction form
    233,601.75/367,003.88 = 367,003.88/x
  3. Step 3: Cross multiply
    233,601.75x = 367,003.88 × 367,003.88
  4. Step 4: Simplify right side
    233,601.75x = 134,691,844,265.02
  5. Step 5: Solve for x
    x = 134,691,844,265.02/233,601.75
  6. Step 6: Final answer
    x = 576,587.48

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.