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Finding the Third Proportional to 336.87 and 503.23

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Solution

The third proportional to 336.87 and 503.23 is: 751.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    336.87 : 503.23 = 503.23 : x
  2. Step 2: Convert to fraction form
    336.87/503.23 = 503.23/x
  3. Step 3: Cross multiply
    336.87x = 503.23 × 503.23
  4. Step 4: Simplify right side
    336.87x = 253,236.97
  5. Step 5: Solve for x
    x = 253,236.97/336.87
  6. Step 6: Final answer
    x = 751.74

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.