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Finding the Third Proportional to 190,647 and 376,506

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Solution

The third proportional to 190,647 and 376,506 is: 743,556.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,647 : 376,506 = 376,506 : x
  2. Step 2: Convert to fraction form
    190,647/376,506 = 376,506/x
  3. Step 3: Cross multiply
    190,647x = 376,506 × 376,506
  4. Step 4: Simplify right side
    190,647x = 141,756,768,036
  5. Step 5: Solve for x
    x = 141,756,768,036/190,647
  6. Step 6: Final answer
    x = 743,556.25

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.