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Finding the Third Proportional to 238.13 and 368.63

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Solution

The third proportional to 238.13 and 368.63 is: 570.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    238.13 : 368.63 = 368.63 : x
  2. Step 2: Convert to fraction form
    238.13/368.63 = 368.63/x
  3. Step 3: Cross multiply
    238.13x = 368.63 × 368.63
  4. Step 4: Simplify right side
    238.13x = 135,884.39
  5. Step 5: Solve for x
    x = 135,884.39/238.13
  6. Step 6: Final answer
    x = 570.64

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.