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Finding the Third Proportional to 171,375 and 371,910

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Solution

The third proportional to 171,375 and 371,910 is: 807,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,375 : 371,910 = 371,910 : x
  2. Step 2: Convert to fraction form
    171,375/371,910 = 371,910/x
  3. Step 3: Cross multiply
    171,375x = 371,910 × 371,910
  4. Step 4: Simplify right side
    171,375x = 138,317,048,100
  5. Step 5: Solve for x
    x = 138,317,048,100/171,375
  6. Step 6: Final answer
    x = 807,101.67

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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.