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Finding the Third Proportional to 155,729.25 and 238,734

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Solution

The third proportional to 155,729.25 and 238,734 is: 365,980.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,729.25 : 238,734 = 238,734 : x
  2. Step 2: Convert to fraction form
    155,729.25/238,734 = 238,734/x
  3. Step 3: Cross multiply
    155,729.25x = 238,734 × 238,734
  4. Step 4: Simplify right side
    155,729.25x = 56,993,922,756
  5. Step 5: Solve for x
    x = 56,993,922,756/155,729.25
  6. Step 6: Final answer
    x = 365,980.85

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.