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Finding the Third Proportional to 180,876 and 391,884

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Solution

The third proportional to 180,876 and 391,884 is: 849,051.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,876 : 391,884 = 391,884 : x
  2. Step 2: Convert to fraction form
    180,876/391,884 = 391,884/x
  3. Step 3: Cross multiply
    180,876x = 391,884 × 391,884
  4. Step 4: Simplify right side
    180,876x = 153,573,069,456
  5. Step 5: Solve for x
    x = 153,573,069,456/180,876
  6. Step 6: Final answer
    x = 849,051.67

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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.