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Finding the Third Proportional to 184,810 and 395,863

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Solution

The third proportional to 184,810 and 395,863 is: 847,938.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    184,810 : 395,863 = 395,863 : x
  2. Step 2: Convert to fraction form
    184,810/395,863 = 395,863/x
  3. Step 3: Cross multiply
    184,810x = 395,863 × 395,863
  4. Step 4: Simplify right side
    184,810x = 156,707,514,769
  5. Step 5: Solve for x
    x = 156,707,514,769/184,810
  6. Step 6: Final answer
    x = 847,938.50

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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.