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Finding the Third Proportional to 351.84 and 376.52

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Solution

The third proportional to 351.84 and 376.52 is: 402.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    351.84 : 376.52 = 376.52 : x
  2. Step 2: Convert to fraction form
    351.84/376.52 = 376.52/x
  3. Step 3: Cross multiply
    351.84x = 376.52 × 376.52
  4. Step 4: Simplify right side
    351.84x = 141,769.90
  5. Step 5: Solve for x
    x = 141,769.90/351.84
  6. Step 6: Final answer
    x = 402.93

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.