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Finding the Third Proportional to 190,044 and 401,544

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Solution

The third proportional to 190,044 and 401,544 is: 848,422.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,044 : 401,544 = 401,544 : x
  2. Step 2: Convert to fraction form
    190,044/401,544 = 401,544/x
  3. Step 3: Cross multiply
    190,044x = 401,544 × 401,544
  4. Step 4: Simplify right side
    190,044x = 161,237,583,936
  5. Step 5: Solve for x
    x = 161,237,583,936/190,044
  6. Step 6: Final answer
    x = 848,422.39

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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.