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Finding the Third Proportional to 293.93 and 390.04

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Solution

The third proportional to 293.93 and 390.04 is: 517.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.93 : 390.04 = 390.04 : x
  2. Step 2: Convert to fraction form
    293.93/390.04 = 390.04/x
  3. Step 3: Cross multiply
    293.93x = 390.04 × 390.04
  4. Step 4: Simplify right side
    293.93x = 152,131.14
  5. Step 5: Solve for x
    x = 152,131.14/293.93
  6. Step 6: Final answer
    x = 517.57

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.