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Finding the Third Proportional to 149,364 and 236,625

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Solution

The third proportional to 149,364 and 236,625 is: 374,865.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,364 : 236,625 = 236,625 : x
  2. Step 2: Convert to fraction form
    149,364/236,625 = 236,625/x
  3. Step 3: Cross multiply
    149,364x = 236,625 × 236,625
  4. Step 4: Simplify right side
    149,364x = 55,991,390,625
  5. Step 5: Solve for x
    x = 55,991,390,625/149,364
  6. Step 6: Final answer
    x = 374,865.37

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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.