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Finding the Third Proportional to 381.38 and 555.19

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Solution

The third proportional to 381.38 and 555.19 is: 808.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    381.38 : 555.19 = 555.19 : x
  2. Step 2: Convert to fraction form
    381.38/555.19 = 555.19/x
  3. Step 3: Cross multiply
    381.38x = 555.19 × 555.19
  4. Step 4: Simplify right side
    381.38x = 308,233.16
  5. Step 5: Solve for x
    x = 308,233.16/381.38
  6. Step 6: Final answer
    x = 808.22

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.