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Finding the Third Proportional to 149,362 and 236,622

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Solution

The third proportional to 149,362 and 236,622 is: 374,860.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,362 : 236,622 = 236,622 : x
  2. Step 2: Convert to fraction form
    149,362/236,622 = 236,622/x
  3. Step 3: Cross multiply
    149,362x = 236,622 × 236,622
  4. Step 4: Simplify right side
    149,362x = 55,989,970,884
  5. Step 5: Solve for x
    x = 55,989,970,884/149,362
  6. Step 6: Final answer
    x = 374,860.88

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.