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Finding the Third Proportional to 222,000.75 and 346,619.25

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Solution

The third proportional to 222,000.75 and 346,619.25 is: 541,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,000.75 : 346,619.25 = 346,619.25 : x
  2. Step 2: Convert to fraction form
    222,000.75/346,619.25 = 346,619.25/x
  3. Step 3: Cross multiply
    222,000.75x = 346,619.25 × 346,619.25
  4. Step 4: Simplify right side
    222,000.75x = 120,144,904,470.56
  5. Step 5: Solve for x
    x = 120,144,904,470.56/222,000.75
  6. Step 6: Final answer
    x = 541,191.44

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.