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Finding the Third Proportional to 235.41 and 344.57

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Solution

The third proportional to 235.41 and 344.57 is: 504.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.41 : 344.57 = 344.57 : x
  2. Step 2: Convert to fraction form
    235.41/344.57 = 344.57/x
  3. Step 3: Cross multiply
    235.41x = 344.57 × 344.57
  4. Step 4: Simplify right side
    235.41x = 118,726.01
  5. Step 5: Solve for x
    x = 118,726.01/235.41
  6. Step 6: Final answer
    x = 504.35

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.