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Finding the Third Proportional to 212,089.50 and 445,992.75

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Solution

The third proportional to 212,089.50 and 445,992.75 is: 937,856.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,089.50 : 445,992.75 = 445,992.75 : x
  2. Step 2: Convert to fraction form
    212,089.50/445,992.75 = 445,992.75/x
  3. Step 3: Cross multiply
    212,089.50x = 445,992.75 × 445,992.75
  4. Step 4: Simplify right side
    212,089.50x = 198,909,533,052.56
  5. Step 5: Solve for x
    x = 198,909,533,052.56/212,089.50
  6. Step 6: Final answer
    x = 937,856.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.