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Finding the Third Proportional to 242.41 and 362.01

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Solution

The third proportional to 242.41 and 362.01 is: 540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.41 : 362.01 = 362.01 : x
  2. Step 2: Convert to fraction form
    242.41/362.01 = 362.01/x
  3. Step 3: Cross multiply
    242.41x = 362.01 × 362.01
  4. Step 4: Simplify right side
    242.41x = 131,050.01
  5. Step 5: Solve for x
    x = 131,050.01/242.41
  6. Step 6: Final answer
    x = 540.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.