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Finding the Third Proportional to 209.25 and 547.13

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Solution

The third proportional to 209.25 and 547.13 is: 1,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209.25 : 547.13 = 547.13 : x
  2. Step 2: Convert to fraction form
    209.25/547.13 = 547.13/x
  3. Step 3: Cross multiply
    209.25x = 547.13 × 547.13
  4. Step 4: Simplify right side
    209.25x = 299,345.77
  5. Step 5: Solve for x
    x = 299,345.77/209.25
  6. Step 6: Final answer
    x = 1,430.57

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Why These Related Problems?

These problems maintain the same ratio (2.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.