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Finding the Third Proportional to 269.63 and 414

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Solution

The third proportional to 269.63 and 414 is: 635.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    269.63 : 414 = 414 : x
  2. Step 2: Convert to fraction form
    269.63/414 = 414/x
  3. Step 3: Cross multiply
    269.63x = 414 × 414
  4. Step 4: Simplify right side
    269.63x = 171,396
  5. Step 5: Solve for x
    x = 171,396/269.63
  6. Step 6: Final answer
    x = 635.68

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.