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Finding the Third Proportional to 263.63 and 353.63

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Solution

The third proportional to 263.63 and 353.63 is: 474.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    263.63 : 353.63 = 353.63 : x
  2. Step 2: Convert to fraction form
    263.63/353.63 = 353.63/x
  3. Step 3: Cross multiply
    263.63x = 353.63 × 353.63
  4. Step 4: Simplify right side
    263.63x = 125,050.64
  5. Step 5: Solve for x
    x = 125,050.64/263.63
  6. Step 6: Final answer
    x = 474.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.