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Finding the Third Proportional to 190,118 and 265,801

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Solution

The third proportional to 190,118 and 265,801 is: 371,612.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,118 : 265,801 = 265,801 : x
  2. Step 2: Convert to fraction form
    190,118/265,801 = 265,801/x
  3. Step 3: Cross multiply
    190,118x = 265,801 × 265,801
  4. Step 4: Simplify right side
    190,118x = 70,650,171,601
  5. Step 5: Solve for x
    x = 70,650,171,601/190,118
  6. Step 6: Final answer
    x = 371,612.22

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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.