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Finding the Third Proportional to 235.13 and 377.06

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Solution

The third proportional to 235.13 and 377.06 is: 604.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.13 : 377.06 = 377.06 : x
  2. Step 2: Convert to fraction form
    235.13/377.06 = 377.06/x
  3. Step 3: Cross multiply
    235.13x = 377.06 × 377.06
  4. Step 4: Simplify right side
    235.13x = 142,176.13
  5. Step 5: Solve for x
    x = 142,176.13/235.13
  6. Step 6: Final answer
    x = 604.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.