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Finding the Third Proportional to 380.16 and 555.29

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Solution

The third proportional to 380.16 and 555.29 is: 811.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.16 : 555.29 = 555.29 : x
  2. Step 2: Convert to fraction form
    380.16/555.29 = 555.29/x
  3. Step 3: Cross multiply
    380.16x = 555.29 × 555.29
  4. Step 4: Simplify right side
    380.16x = 308,350.28
  5. Step 5: Solve for x
    x = 308,350.28/380.16
  6. Step 6: Final answer
    x = 811.10

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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.