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Finding the Third Proportional to 150,039 and 232,164

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Solution

The third proportional to 150,039 and 232,164 is: 359,240.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,039 : 232,164 = 232,164 : x
  2. Step 2: Convert to fraction form
    150,039/232,164 = 232,164/x
  3. Step 3: Cross multiply
    150,039x = 232,164 × 232,164
  4. Step 4: Simplify right side
    150,039x = 53,900,122,896
  5. Step 5: Solve for x
    x = 53,900,122,896/150,039
  6. Step 6: Final answer
    x = 359,240.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.