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Finding the Third Proportional to 210.75 and 521.25

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Solution

The third proportional to 210.75 and 521.25 is: 1,289.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.75 : 521.25 = 521.25 : x
  2. Step 2: Convert to fraction form
    210.75/521.25 = 521.25/x
  3. Step 3: Cross multiply
    210.75x = 521.25 × 521.25
  4. Step 4: Simplify right side
    210.75x = 271,701.56
  5. Step 5: Solve for x
    x = 271,701.56/210.75
  6. Step 6: Final answer
    x = 1,289.21

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.