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Finding the Third Proportional to 180,879 and 392,886

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Solution

The third proportional to 180,879 and 392,886 is: 853,384.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,879 : 392,886 = 392,886 : x
  2. Step 2: Convert to fraction form
    180,879/392,886 = 392,886/x
  3. Step 3: Cross multiply
    180,879x = 392,886 × 392,886
  4. Step 4: Simplify right side
    180,879x = 154,359,408,996
  5. Step 5: Solve for x
    x = 154,359,408,996/180,879
  6. Step 6: Final answer
    x = 853,384.91

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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.