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Finding the Third Proportional to 184,818 and 395,877

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Solution

The third proportional to 184,818 and 395,877 is: 847,961.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,818 : 395,877 = 395,877 : x
  2. Step 2: Convert to fraction form
    184,818/395,877 = 395,877/x
  3. Step 3: Cross multiply
    184,818x = 395,877 × 395,877
  4. Step 4: Simplify right side
    184,818x = 156,718,599,129
  5. Step 5: Solve for x
    x = 156,718,599,129/184,818
  6. Step 6: Final answer
    x = 847,961.77

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.