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Finding the Third Proportional to 235.83 and 344.46

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Solution

The third proportional to 235.83 and 344.46 is: 503.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.83 : 344.46 = 344.46 : x
  2. Step 2: Convert to fraction form
    235.83/344.46 = 344.46/x
  3. Step 3: Cross multiply
    235.83x = 344.46 × 344.46
  4. Step 4: Simplify right side
    235.83x = 118,653.34
  5. Step 5: Solve for x
    x = 118,653.34/235.83
  6. Step 6: Final answer
    x = 503.13

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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.