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Finding the Third Proportional to 190,668 and 364,020

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Solution

The third proportional to 190,668 and 364,020 is: 694,980.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,668 : 364,020 = 364,020 : x
  2. Step 2: Convert to fraction form
    190,668/364,020 = 364,020/x
  3. Step 3: Cross multiply
    190,668x = 364,020 × 364,020
  4. Step 4: Simplify right side
    190,668x = 132,510,560,400
  5. Step 5: Solve for x
    x = 132,510,560,400/190,668
  6. Step 6: Final answer
    x = 694,980.60

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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.