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Finding the Third Proportional to 144,846 and 302,928.75

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Solution

The third proportional to 144,846 and 302,928.75 is: 633,540.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,846 : 302,928.75 = 302,928.75 : x
  2. Step 2: Convert to fraction form
    144,846/302,928.75 = 302,928.75/x
  3. Step 3: Cross multiply
    144,846x = 302,928.75 × 302,928.75
  4. Step 4: Simplify right side
    144,846x = 91,765,827,576.56
  5. Step 5: Solve for x
    x = 91,765,827,576.56/144,846
  6. Step 6: Final answer
    x = 633,540.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.