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Finding the Third Proportional to 149,125 and 326,600

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Solution

The third proportional to 149,125 and 326,600 is: 715,289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,125 : 326,600 = 326,600 : x
  2. Step 2: Convert to fraction form
    149,125/326,600 = 326,600/x
  3. Step 3: Cross multiply
    149,125x = 326,600 × 326,600
  4. Step 4: Simplify right side
    149,125x = 106,667,560,000
  5. Step 5: Solve for x
    x = 106,667,560,000/149,125
  6. Step 6: Final answer
    x = 715,289.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.