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Finding the Third Proportional to 238.13 and 373.22

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Solution

The third proportional to 238.13 and 373.22 is: 584.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.13 : 373.22 = 373.22 : x
  2. Step 2: Convert to fraction form
    238.13/373.22 = 373.22/x
  3. Step 3: Cross multiply
    238.13x = 373.22 × 373.22
  4. Step 4: Simplify right side
    238.13x = 139,292.24
  5. Step 5: Solve for x
    x = 139,292.24/238.13
  6. Step 6: Final answer
    x = 584.95

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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.