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Finding the Third Proportional to 149,969 and 326,182

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Solution

The third proportional to 149,969 and 326,182 is: 709,444.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,969 : 326,182 = 326,182 : x
  2. Step 2: Convert to fraction form
    149,969/326,182 = 326,182/x
  3. Step 3: Cross multiply
    149,969x = 326,182 × 326,182
  4. Step 4: Simplify right side
    149,969x = 106,394,697,124
  5. Step 5: Solve for x
    x = 106,394,697,124/149,969
  6. Step 6: Final answer
    x = 709,444.60

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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.