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Finding the Third Proportional to 180,958.88 and 357,375.94

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Solution

The third proportional to 180,958.88 and 357,375.94 is: 705,782.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,958.88 : 357,375.94 = 357,375.94 : x
  2. Step 2: Convert to fraction form
    180,958.88/357,375.94 = 357,375.94/x
  3. Step 3: Cross multiply
    180,958.88x = 357,375.94 × 357,375.94
  4. Step 4: Simplify right side
    180,958.88x = 127,717,560,704.00
  5. Step 5: Solve for x
    x = 127,717,560,704.00/180,958.88
  6. Step 6: Final answer
    x = 705,782.24

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.