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Finding the Third Proportional to 150,463.50 and 228,650.25

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Solution

The third proportional to 150,463.50 and 228,650.25 is: 347,465.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,463.50 : 228,650.25 = 228,650.25 : x
  2. Step 2: Convert to fraction form
    150,463.50/228,650.25 = 228,650.25/x
  3. Step 3: Cross multiply
    150,463.50x = 228,650.25 × 228,650.25
  4. Step 4: Simplify right side
    150,463.50x = 52,280,936,825.06
  5. Step 5: Solve for x
    x = 52,280,936,825.06/150,463.50
  6. Step 6: Final answer
    x = 347,465.91

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.