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Finding the Third Proportional to 150,198 and 232,486.50

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Solution

The third proportional to 150,198 and 232,486.50 is: 359,858.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,198 : 232,486.50 = 232,486.50 : x
  2. Step 2: Convert to fraction form
    150,198/232,486.50 = 232,486.50/x
  3. Step 3: Cross multiply
    150,198x = 232,486.50 × 232,486.50
  4. Step 4: Simplify right side
    150,198x = 54,049,972,682.25
  5. Step 5: Solve for x
    x = 54,049,972,682.25/150,198
  6. Step 6: Final answer
    x = 359,858.14

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.