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Finding the Third Proportional to 190,147.50 and 388,496.25

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Solution

The third proportional to 190,147.50 and 388,496.25 is: 793,748.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,147.50 : 388,496.25 = 388,496.25 : x
  2. Step 2: Convert to fraction form
    190,147.50/388,496.25 = 388,496.25/x
  3. Step 3: Cross multiply
    190,147.50x = 388,496.25 × 388,496.25
  4. Step 4: Simplify right side
    190,147.50x = 150,929,336,264.06
  5. Step 5: Solve for x
    x = 150,929,336,264.06/190,147.50
  6. Step 6: Final answer
    x = 793,748.73

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.