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Finding the Third Proportional to 140,964.88 and 203,669.75

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Solution

The third proportional to 140,964.88 and 203,669.75 is: 294,267.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,964.88 : 203,669.75 = 203,669.75 : x
  2. Step 2: Convert to fraction form
    140,964.88/203,669.75 = 203,669.75/x
  3. Step 3: Cross multiply
    140,964.88x = 203,669.75 × 203,669.75
  4. Step 4: Simplify right side
    140,964.88x = 41,481,367,065.06
  5. Step 5: Solve for x
    x = 41,481,367,065.06/140,964.88
  6. Step 6: Final answer
    x = 294,267.40

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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.