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Finding the Third Proportional to 150,148 and 326,256

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Solution

The third proportional to 150,148 and 326,256 is: 708,920.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,148 : 326,256 = 326,256 : x
  2. Step 2: Convert to fraction form
    150,148/326,256 = 326,256/x
  3. Step 3: Cross multiply
    150,148x = 326,256 × 326,256
  4. Step 4: Simplify right side
    150,148x = 106,442,977,536
  5. Step 5: Solve for x
    x = 106,442,977,536/150,148
  6. Step 6: Final answer
    x = 708,920.38

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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.