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Finding the Third Proportional to 150,903 and 222,048.84

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Solution

The third proportional to 150,903 and 222,048.84 is: 326,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,903 : 222,048.84 = 222,048.84 : x
  2. Step 2: Convert to fraction form
    150,903/222,048.84 = 222,048.84/x
  3. Step 3: Cross multiply
    150,903x = 222,048.84 × 222,048.84
  4. Step 4: Simplify right side
    150,903x = 49,305,689,010.71
  5. Step 5: Solve for x
    x = 49,305,689,010.71/150,903
  6. Step 6: Final answer
    x = 326,737.63

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.