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Finding the Third Proportional to 171,923 and 373,735

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Solution

The third proportional to 171,923 and 373,735 is: 812,444.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,923 : 373,735 = 373,735 : x
  2. Step 2: Convert to fraction form
    171,923/373,735 = 373,735/x
  3. Step 3: Cross multiply
    171,923x = 373,735 × 373,735
  4. Step 4: Simplify right side
    171,923x = 139,677,850,225
  5. Step 5: Solve for x
    x = 139,677,850,225/171,923
  6. Step 6: Final answer
    x = 812,444.24

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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.