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Finding the Third Proportional to 201,611 and 373,697

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Solution

The third proportional to 201,611 and 373,697 is: 692,667.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,611 : 373,697 = 373,697 : x
  2. Step 2: Convert to fraction form
    201,611/373,697 = 373,697/x
  3. Step 3: Cross multiply
    201,611x = 373,697 × 373,697
  4. Step 4: Simplify right side
    201,611x = 139,649,447,809
  5. Step 5: Solve for x
    x = 139,649,447,809/201,611
  6. Step 6: Final answer
    x = 692,667.80

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.