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Finding the Third Proportional to 161,408.25 and 318,683.25

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Solution

The third proportional to 161,408.25 and 318,683.25 is: 629,205.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,408.25 : 318,683.25 = 318,683.25 : x
  2. Step 2: Convert to fraction form
    161,408.25/318,683.25 = 318,683.25/x
  3. Step 3: Cross multiply
    161,408.25x = 318,683.25 × 318,683.25
  4. Step 4: Simplify right side
    161,408.25x = 101,559,013,830.56
  5. Step 5: Solve for x
    x = 101,559,013,830.56/161,408.25
  6. Step 6: Final answer
    x = 629,205.84

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.