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Finding the Third Proportional to 190,226 and 401,671

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Solution

The third proportional to 190,226 and 401,671 is: 848,146.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,226 : 401,671 = 401,671 : x
  2. Step 2: Convert to fraction form
    190,226/401,671 = 401,671/x
  3. Step 3: Cross multiply
    190,226x = 401,671 × 401,671
  4. Step 4: Simplify right side
    190,226x = 161,339,592,241
  5. Step 5: Solve for x
    x = 161,339,592,241/190,226
  6. Step 6: Final answer
    x = 848,146.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.