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Finding the Third Proportional to 314.13 and 346.38

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Solution

The third proportional to 314.13 and 346.38 is: 381.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.13 : 346.38 = 346.38 : x
  2. Step 2: Convert to fraction form
    314.13/346.38 = 346.38/x
  3. Step 3: Cross multiply
    314.13x = 346.38 × 346.38
  4. Step 4: Simplify right side
    314.13x = 119,975.64
  5. Step 5: Solve for x
    x = 119,975.64/314.13
  6. Step 6: Final answer
    x = 381.94

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.