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Finding the Third Proportional to 150,185 and 349,218

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Solution

The third proportional to 150,185 and 349,218 is: 812,019.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,185 : 349,218 = 349,218 : x
  2. Step 2: Convert to fraction form
    150,185/349,218 = 349,218/x
  3. Step 3: Cross multiply
    150,185x = 349,218 × 349,218
  4. Step 4: Simplify right side
    150,185x = 121,953,211,524
  5. Step 5: Solve for x
    x = 121,953,211,524/150,185
  6. Step 6: Final answer
    x = 812,019.92

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Why These Related Problems?

These problems maintain the same ratio (2.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.