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Finding the Third Proportional to 149,388 and 236,662

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Solution

The third proportional to 149,388 and 236,662 is: 374,922.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,388 : 236,662 = 236,662 : x
  2. Step 2: Convert to fraction form
    149,388/236,662 = 236,662/x
  3. Step 3: Cross multiply
    149,388x = 236,662 × 236,662
  4. Step 4: Simplify right side
    149,388x = 56,008,902,244
  5. Step 5: Solve for x
    x = 56,008,902,244/149,388
  6. Step 6: Final answer
    x = 374,922.36

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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.