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Finding the Third Proportional to 210.09 and 276.28

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Solution

The third proportional to 210.09 and 276.28 is: 363.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.09 : 276.28 = 276.28 : x
  2. Step 2: Convert to fraction form
    210.09/276.28 = 276.28/x
  3. Step 3: Cross multiply
    210.09x = 276.28 × 276.28
  4. Step 4: Simplify right side
    210.09x = 76,331.33
  5. Step 5: Solve for x
    x = 76,331.33/210.09
  6. Step 6: Final answer
    x = 363.32

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.