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Finding the Third Proportional to 343.13 and 493.31

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Solution

The third proportional to 343.13 and 493.31 is: 709.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    343.13 : 493.31 = 493.31 : x
  2. Step 2: Convert to fraction form
    343.13/493.31 = 493.31/x
  3. Step 3: Cross multiply
    343.13x = 493.31 × 493.31
  4. Step 4: Simplify right side
    343.13x = 243,357.22
  5. Step 5: Solve for x
    x = 243,357.22/343.13
  6. Step 6: Final answer
    x = 709.24

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.