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Finding the Third Proportional to 310.92 and 341.93

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Solution

The third proportional to 310.92 and 341.93 is: 376.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.92 : 341.93 = 341.93 : x
  2. Step 2: Convert to fraction form
    310.92/341.93 = 341.93/x
  3. Step 3: Cross multiply
    310.92x = 341.93 × 341.93
  4. Step 4: Simplify right side
    310.92x = 116,915.91
  5. Step 5: Solve for x
    x = 116,915.91/310.92
  6. Step 6: Final answer
    x = 376.03

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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.