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Finding the Third Proportional to 149,395 and 326,761

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Solution

The third proportional to 149,395 and 326,761 is: 714,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,395 : 326,761 = 326,761 : x
  2. Step 2: Convert to fraction form
    149,395/326,761 = 326,761/x
  3. Step 3: Cross multiply
    149,395x = 326,761 × 326,761
  4. Step 4: Simplify right side
    149,395x = 106,772,751,121
  5. Step 5: Solve for x
    x = 106,772,751,121/149,395
  6. Step 6: Final answer
    x = 714,700.97

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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.