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Finding the Third Proportional to 100,274.25 and 150,433.50

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Solution

The third proportional to 100,274.25 and 150,433.50 is: 225,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,274.25 : 150,433.50 = 150,433.50 : x
  2. Step 2: Convert to fraction form
    100,274.25/150,433.50 = 150,433.50/x
  3. Step 3: Cross multiply
    100,274.25x = 150,433.50 × 150,433.50
  4. Step 4: Simplify right side
    100,274.25x = 22,630,237,922.25
  5. Step 5: Solve for x
    x = 22,630,237,922.25/100,274.25
  6. Step 6: Final answer
    x = 225,683.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.