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Finding the Third Proportional to 150,145 and 326,250

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Solution

The third proportional to 150,145 and 326,250 is: 708,908.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,145 : 326,250 = 326,250 : x
  2. Step 2: Convert to fraction form
    150,145/326,250 = 326,250/x
  3. Step 3: Cross multiply
    150,145x = 326,250 × 326,250
  4. Step 4: Simplify right side
    150,145x = 106,439,062,500
  5. Step 5: Solve for x
    x = 106,439,062,500/150,145
  6. Step 6: Final answer
    x = 708,908.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.