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Finding the Third Proportional to 213.19 and 455.06

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Solution

The third proportional to 213.19 and 455.06 is: 971.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.19 : 455.06 = 455.06 : x
  2. Step 2: Convert to fraction form
    213.19/455.06 = 455.06/x
  3. Step 3: Cross multiply
    213.19x = 455.06 × 455.06
  4. Step 4: Simplify right side
    213.19x = 207,081.88
  5. Step 5: Solve for x
    x = 207,081.88/213.19
  6. Step 6: Final answer
    x = 971.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.