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Finding the Third Proportional to 140,967 and 203,673

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Solution

The third proportional to 140,967 and 203,673 is: 294,272.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,967 : 203,673 = 203,673 : x
  2. Step 2: Convert to fraction form
    140,967/203,673 = 203,673/x
  3. Step 3: Cross multiply
    140,967x = 203,673 × 203,673
  4. Step 4: Simplify right side
    140,967x = 41,482,690,929
  5. Step 5: Solve for x
    x = 41,482,690,929/140,967
  6. Step 6: Final answer
    x = 294,272.35

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.