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Finding the Third Proportional to 179,656.50 and 383,415.56

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Solution

The third proportional to 179,656.50 and 383,415.56 is: 818,269.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,656.50 : 383,415.56 = 383,415.56 : x
  2. Step 2: Convert to fraction form
    179,656.50/383,415.56 = 383,415.56/x
  3. Step 3: Cross multiply
    179,656.50x = 383,415.56 × 383,415.56
  4. Step 4: Simplify right side
    179,656.50x = 147,007,493,567.19
  5. Step 5: Solve for x
    x = 147,007,493,567.19/179,656.50
  6. Step 6: Final answer
    x = 818,269.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.