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Finding the Third Proportional to 190,448 and 363,616

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Solution

The third proportional to 190,448 and 363,616 is: 694,239.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,448 : 363,616 = 363,616 : x
  2. Step 2: Convert to fraction form
    190,448/363,616 = 363,616/x
  3. Step 3: Cross multiply
    190,448x = 363,616 × 363,616
  4. Step 4: Simplify right side
    190,448x = 132,216,595,456
  5. Step 5: Solve for x
    x = 132,216,595,456/190,448
  6. Step 6: Final answer
    x = 694,239.87

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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.