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Finding the Third Proportional to 242.25 and 362.63

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Solution

The third proportional to 242.25 and 362.63 is: 542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.25 : 362.63 = 362.63 : x
  2. Step 2: Convert to fraction form
    242.25/362.63 = 362.63/x
  3. Step 3: Cross multiply
    242.25x = 362.63 × 362.63
  4. Step 4: Simplify right side
    242.25x = 131,496.89
  5. Step 5: Solve for x
    x = 131,496.89/242.25
  6. Step 6: Final answer
    x = 542.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.