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Finding the Third Proportional to 190,678 and 376,562

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Solution

The third proportional to 190,678 and 376,562 is: 743,656.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,678 : 376,562 = 376,562 : x
  2. Step 2: Convert to fraction form
    190,678/376,562 = 376,562/x
  3. Step 3: Cross multiply
    190,678x = 376,562 × 376,562
  4. Step 4: Simplify right side
    190,678x = 141,798,939,844
  5. Step 5: Solve for x
    x = 141,798,939,844/190,678
  6. Step 6: Final answer
    x = 743,656.53

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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.