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Finding the Third Proportional to 190,108 and 265,783

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Solution

The third proportional to 190,108 and 265,783 is: 371,581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,108 : 265,783 = 265,783 : x
  2. Step 2: Convert to fraction form
    190,108/265,783 = 265,783/x
  3. Step 3: Cross multiply
    190,108x = 265,783 × 265,783
  4. Step 4: Simplify right side
    190,108x = 70,640,603,089
  5. Step 5: Solve for x
    x = 70,640,603,089/190,108
  6. Step 6: Final answer
    x = 371,581.43

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.