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Finding the Third Proportional to 342.98 and 498.34

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Solution

The third proportional to 342.98 and 498.34 is: 724.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    342.98 : 498.34 = 498.34 : x
  2. Step 2: Convert to fraction form
    342.98/498.34 = 498.34/x
  3. Step 3: Cross multiply
    342.98x = 498.34 × 498.34
  4. Step 4: Simplify right side
    342.98x = 248,342.60
  5. Step 5: Solve for x
    x = 248,342.60/342.98
  6. Step 6: Final answer
    x = 724.06

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These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.