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Finding the Third Proportional to 190,606 and 279,543

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Solution

The third proportional to 190,606 and 279,543 is: 409,978.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,606 : 279,543 = 279,543 : x
  2. Step 2: Convert to fraction form
    190,606/279,543 = 279,543/x
  3. Step 3: Cross multiply
    190,606x = 279,543 × 279,543
  4. Step 4: Simplify right side
    190,606x = 78,144,288,849
  5. Step 5: Solve for x
    x = 78,144,288,849/190,606
  6. Step 6: Final answer
    x = 409,978.12

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.