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Finding the Third Proportional to 190,567 and 376,315

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Solution

The third proportional to 190,567 and 376,315 is: 743,113.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,567 : 376,315 = 376,315 : x
  2. Step 2: Convert to fraction form
    190,567/376,315 = 376,315/x
  3. Step 3: Cross multiply
    190,567x = 376,315 × 376,315
  4. Step 4: Simplify right side
    190,567x = 141,612,979,225
  5. Step 5: Solve for x
    x = 141,612,979,225/190,567
  6. Step 6: Final answer
    x = 743,113.86

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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.