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Finding the Third Proportional to 155,037.80 and 226,405.76

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Solution

The third proportional to 155,037.80 and 226,405.76 is: 330,626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,037.80 : 226,405.76 = 226,405.76 : x
  2. Step 2: Convert to fraction form
    155,037.80/226,405.76 = 226,405.76/x
  3. Step 3: Cross multiply
    155,037.80x = 226,405.76 × 226,405.76
  4. Step 4: Simplify right side
    155,037.80x = 51,259,567,170.65
  5. Step 5: Solve for x
    x = 51,259,567,170.65/155,037.80
  6. Step 6: Final answer
    x = 330,626.26

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