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Finding the Third Proportional to 237,188.25 and 377,233.88

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Solution

The third proportional to 237,188.25 and 377,233.88 is: 599,968.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,188.25 : 377,233.88 = 377,233.88 : x
  2. Step 2: Convert to fraction form
    237,188.25/377,233.88 = 377,233.88/x
  3. Step 3: Cross multiply
    237,188.25x = 377,233.88 × 377,233.88
  4. Step 4: Simplify right side
    237,188.25x = 142,305,396,447.52
  5. Step 5: Solve for x
    x = 142,305,396,447.52/237,188.25
  6. Step 6: Final answer
    x = 599,968.15

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.