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Finding the Third Proportional to 190,190 and 294,338

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Solution

The third proportional to 190,190 and 294,338 is: 455,517.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,190 : 294,338 = 294,338 : x
  2. Step 2: Convert to fraction form
    190,190/294,338 = 294,338/x
  3. Step 3: Cross multiply
    190,190x = 294,338 × 294,338
  4. Step 4: Simplify right side
    190,190x = 86,634,858,244
  5. Step 5: Solve for x
    x = 86,634,858,244/190,190
  6. Step 6: Final answer
    x = 455,517.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.