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Finding the Third Proportional to 173.63 and 264.63

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Solution

The third proportional to 173.63 and 264.63 is: 403.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.63 : 264.63 = 264.63 : x
  2. Step 2: Convert to fraction form
    173.63/264.63 = 264.63/x
  3. Step 3: Cross multiply
    173.63x = 264.63 × 264.63
  4. Step 4: Simplify right side
    173.63x = 70,026.39
  5. Step 5: Solve for x
    x = 70,026.39/173.63
  6. Step 6: Final answer
    x = 403.32

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.