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Finding the Third Proportional to 269.63 and 376.31

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Solution

The third proportional to 269.63 and 376.31 is: 525.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.63 : 376.31 = 376.31 : x
  2. Step 2: Convert to fraction form
    269.63/376.31 = 376.31/x
  3. Step 3: Cross multiply
    269.63x = 376.31 × 376.31
  4. Step 4: Simplify right side
    269.63x = 141,611.10
  5. Step 5: Solve for x
    x = 141,611.10/269.63
  6. Step 6: Final answer
    x = 525.22

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Why These Related Problems?

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