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Finding the Third Proportional to 236.13 and 364.81

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Solution

The third proportional to 236.13 and 364.81 is: 563.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    236.13 : 364.81 = 364.81 : x
  2. Step 2: Convert to fraction form
    236.13/364.81 = 364.81/x
  3. Step 3: Cross multiply
    236.13x = 364.81 × 364.81
  4. Step 4: Simplify right side
    236.13x = 133,088.16
  5. Step 5: Solve for x
    x = 133,088.16/236.13
  6. Step 6: Final answer
    x = 563.63

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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.