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Finding the Third Proportional to 355.38 and 498.13

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Solution

The third proportional to 355.38 and 498.13 is: 698.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    355.38 : 498.13 = 498.13 : x
  2. Step 2: Convert to fraction form
    355.38/498.13 = 498.13/x
  3. Step 3: Cross multiply
    355.38x = 498.13 × 498.13
  4. Step 4: Simplify right side
    355.38x = 248,128.52
  5. Step 5: Solve for x
    x = 248,128.52/355.38
  6. Step 6: Final answer
    x = 698.22

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.