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Finding the Third Proportional to 190,444 and 363,608

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Solution

The third proportional to 190,444 and 363,608 is: 694,223.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,444 : 363,608 = 363,608 : x
  2. Step 2: Convert to fraction form
    190,444/363,608 = 363,608/x
  3. Step 3: Cross multiply
    190,444x = 363,608 × 363,608
  4. Step 4: Simplify right side
    190,444x = 132,210,777,664
  5. Step 5: Solve for x
    x = 132,210,777,664/190,444
  6. Step 6: Final answer
    x = 694,223.91

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.