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Finding the Third Proportional to 155.50 and 337.63

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Solution

The third proportional to 155.50 and 337.63 is: 733.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.50 : 337.63 = 337.63 : x
  2. Step 2: Convert to fraction form
    155.50/337.63 = 337.63/x
  3. Step 3: Cross multiply
    155.50x = 337.63 × 337.63
  4. Step 4: Simplify right side
    155.50x = 113,990.64
  5. Step 5: Solve for x
    x = 113,990.64/155.50
  6. Step 6: Final answer
    x = 733.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.