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Finding the Third Proportional to 150,211.88 and 231,941.25

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Solution

The third proportional to 150,211.88 and 231,941.25 is: 358,139.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,211.88 : 231,941.25 = 231,941.25 : x
  2. Step 2: Convert to fraction form
    150,211.88/231,941.25 = 231,941.25/x
  3. Step 3: Cross multiply
    150,211.88x = 231,941.25 × 231,941.25
  4. Step 4: Simplify right side
    150,211.88x = 53,796,743,451.56
  5. Step 5: Solve for x
    x = 53,796,743,451.56/150,211.88
  6. Step 6: Final answer
    x = 358,139.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.