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Finding the Third Proportional to 194.63 and 420.47

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Solution

The third proportional to 194.63 and 420.47 is: 908.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    194.63 : 420.47 = 420.47 : x
  2. Step 2: Convert to fraction form
    194.63/420.47 = 420.47/x
  3. Step 3: Cross multiply
    194.63x = 420.47 × 420.47
  4. Step 4: Simplify right side
    194.63x = 176,793.97
  5. Step 5: Solve for x
    x = 176,793.97/194.63
  6. Step 6: Final answer
    x = 908.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.