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Finding the Third Proportional to 213.47 and 468.49

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Solution

The third proportional to 213.47 and 468.49 is: 1,028.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.47 : 468.49 = 468.49 : x
  2. Step 2: Convert to fraction form
    213.47/468.49 = 468.49/x
  3. Step 3: Cross multiply
    213.47x = 468.49 × 468.49
  4. Step 4: Simplify right side
    213.47x = 219,484.93
  5. Step 5: Solve for x
    x = 219,484.93/213.47
  6. Step 6: Final answer
    x = 1,028.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.