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Finding the Third Proportional to 210.94 and 553.22

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Solution

The third proportional to 210.94 and 553.22 is: 1,450.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.94 : 553.22 = 553.22 : x
  2. Step 2: Convert to fraction form
    210.94/553.22 = 553.22/x
  3. Step 3: Cross multiply
    210.94x = 553.22 × 553.22
  4. Step 4: Simplify right side
    210.94x = 306,050.99
  5. Step 5: Solve for x
    x = 306,050.99/210.94
  6. Step 6: Final answer
    x = 1,450.91

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Why These Related Problems?

These problems maintain the same ratio (2.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.