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Finding the Third Proportional to 161,064 and 326,448

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Solution

The third proportional to 161,064 and 326,448 is: 661,651.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,064 : 326,448 = 326,448 : x
  2. Step 2: Convert to fraction form
    161,064/326,448 = 326,448/x
  3. Step 3: Cross multiply
    161,064x = 326,448 × 326,448
  4. Step 4: Simplify right side
    161,064x = 106,568,296,704
  5. Step 5: Solve for x
    x = 106,568,296,704/161,064
  6. Step 6: Final answer
    x = 661,651.87

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.