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Finding the Third Proportional to 147,441.75 and 222,381

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Solution

The third proportional to 147,441.75 and 222,381 is: 335,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,441.75 : 222,381 = 222,381 : x
  2. Step 2: Convert to fraction form
    147,441.75/222,381 = 222,381/x
  3. Step 3: Cross multiply
    147,441.75x = 222,381 × 222,381
  4. Step 4: Simplify right side
    147,441.75x = 49,453,309,161
  5. Step 5: Solve for x
    x = 49,453,309,161/147,441.75
  6. Step 6: Final answer
    x = 335,409.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.