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Finding the Third Proportional to 173,002 and 374,435

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Solution

The third proportional to 173,002 and 374,435 is: 810,404.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,002 : 374,435 = 374,435 : x
  2. Step 2: Convert to fraction form
    173,002/374,435 = 374,435/x
  3. Step 3: Cross multiply
    173,002x = 374,435 × 374,435
  4. Step 4: Simplify right side
    173,002x = 140,201,569,225
  5. Step 5: Solve for x
    x = 140,201,569,225/173,002
  6. Step 6: Final answer
    x = 810,404.33

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.