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Finding the Third Proportional to 190,208 and 290,388

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Solution

The third proportional to 190,208 and 290,388 is: 443,331.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,208 : 290,388 = 290,388 : x
  2. Step 2: Convert to fraction form
    190,208/290,388 = 290,388/x
  3. Step 3: Cross multiply
    190,208x = 290,388 × 290,388
  4. Step 4: Simplify right side
    190,208x = 84,325,190,544
  5. Step 5: Solve for x
    x = 84,325,190,544/190,208
  6. Step 6: Final answer
    x = 443,331.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.