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Finding the Third Proportional to 149,838 and 341,247

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Solution

The third proportional to 149,838 and 341,247 is: 777,169.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,838 : 341,247 = 341,247 : x
  2. Step 2: Convert to fraction form
    149,838/341,247 = 341,247/x
  3. Step 3: Cross multiply
    149,838x = 341,247 × 341,247
  4. Step 4: Simplify right side
    149,838x = 116,449,515,009
  5. Step 5: Solve for x
    x = 116,449,515,009/149,838
  6. Step 6: Final answer
    x = 777,169.44

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.