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Finding the Third Proportional to 150,649.88 and 227,515.50

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Solution

The third proportional to 150,649.88 and 227,515.50 is: 343,600.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,649.88 : 227,515.50 = 227,515.50 : x
  2. Step 2: Convert to fraction form
    150,649.88/227,515.50 = 227,515.50/x
  3. Step 3: Cross multiply
    150,649.88x = 227,515.50 × 227,515.50
  4. Step 4: Simplify right side
    150,649.88x = 51,763,302,740.25
  5. Step 5: Solve for x
    x = 51,763,302,740.25/150,649.88
  6. Step 6: Final answer
    x = 343,600.04

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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.