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Finding the Third Proportional to 190,609 and 280,369

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Solution

The third proportional to 190,609 and 280,369 is: 412,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,609 : 280,369 = 280,369 : x
  2. Step 2: Convert to fraction form
    190,609/280,369 = 280,369/x
  3. Step 3: Cross multiply
    190,609x = 280,369 × 280,369
  4. Step 4: Simplify right side
    190,609x = 78,606,776,161
  5. Step 5: Solve for x
    x = 78,606,776,161/190,609
  6. Step 6: Final answer
    x = 412,398.03

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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.