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Finding the Third Proportional to 190,044 and 413,166

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Solution

The third proportional to 190,044 and 413,166 is: 898,245.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,044 : 413,166 = 413,166 : x
  2. Step 2: Convert to fraction form
    190,044/413,166 = 413,166/x
  3. Step 3: Cross multiply
    190,044x = 413,166 × 413,166
  4. Step 4: Simplify right side
    190,044x = 170,706,143,556
  5. Step 5: Solve for x
    x = 170,706,143,556/190,044
  6. Step 6: Final answer
    x = 898,245.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.