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Finding the Third Proportional to 190,777 and 376,752

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Solution

The third proportional to 190,777 and 376,752 is: 744,020.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,777 : 376,752 = 376,752 : x
  2. Step 2: Convert to fraction form
    190,777/376,752 = 376,752/x
  3. Step 3: Cross multiply
    190,777x = 376,752 × 376,752
  4. Step 4: Simplify right side
    190,777x = 141,942,069,504
  5. Step 5: Solve for x
    x = 141,942,069,504/190,777
  6. Step 6: Final answer
    x = 744,020.87

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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.