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Finding the Third Proportional to 150,852 and 326,748

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Solution

The third proportional to 150,852 and 326,748 is: 707,741.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,852 : 326,748 = 326,748 : x
  2. Step 2: Convert to fraction form
    150,852/326,748 = 326,748/x
  3. Step 3: Cross multiply
    150,852x = 326,748 × 326,748
  4. Step 4: Simplify right side
    150,852x = 106,764,255,504
  5. Step 5: Solve for x
    x = 106,764,255,504/150,852
  6. Step 6: Final answer
    x = 707,741.73

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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.