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Finding the Third Proportional to 210.25 and 426.25

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Solution

The third proportional to 210.25 and 426.25 is: 864.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.25 : 426.25 = 426.25 : x
  2. Step 2: Convert to fraction form
    210.25/426.25 = 426.25/x
  3. Step 3: Cross multiply
    210.25x = 426.25 × 426.25
  4. Step 4: Simplify right side
    210.25x = 181,689.06
  5. Step 5: Solve for x
    x = 181,689.06/210.25
  6. Step 6: Final answer
    x = 864.16

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.