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Finding the Third Proportional to 213.94 and 456.47

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Solution

The third proportional to 213.94 and 456.47 is: 973.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.94 : 456.47 = 456.47 : x
  2. Step 2: Convert to fraction form
    213.94/456.47 = 456.47/x
  3. Step 3: Cross multiply
    213.94x = 456.47 × 456.47
  4. Step 4: Simplify right side
    213.94x = 208,363.72
  5. Step 5: Solve for x
    x = 208,363.72/213.94
  6. Step 6: Final answer
    x = 973.95

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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.