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Finding the Third Proportional to 234,145.69 and 480,080.67

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Solution

The third proportional to 234,145.69 and 480,080.67 is: 984,333.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,145.69 : 480,080.67 = 480,080.67 : x
  2. Step 2: Convert to fraction form
    234,145.69/480,080.67 = 480,080.67/x
  3. Step 3: Cross multiply
    234,145.69x = 480,080.67 × 480,080.67
  4. Step 4: Simplify right side
    234,145.69x = 230,477,451,507.95
  5. Step 5: Solve for x
    x = 230,477,451,507.95/234,145.69
  6. Step 6: Final answer
    x = 984,333.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.