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Finding the Third Proportional to 150,043 and 226,671

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Solution

The third proportional to 150,043 and 226,671 is: 342,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,043 : 226,671 = 226,671 : x
  2. Step 2: Convert to fraction form
    150,043/226,671 = 226,671/x
  3. Step 3: Cross multiply
    150,043x = 226,671 × 226,671
  4. Step 4: Simplify right side
    150,043x = 51,379,742,241
  5. Step 5: Solve for x
    x = 51,379,742,241/150,043
  6. Step 6: Final answer
    x = 342,433.45

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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.