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Finding the Third Proportional to 185,826 and 395,628

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Solution

The third proportional to 185,826 and 395,628 is: 842,301.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,826 : 395,628 = 395,628 : x
  2. Step 2: Convert to fraction form
    185,826/395,628 = 395,628/x
  3. Step 3: Cross multiply
    185,826x = 395,628 × 395,628
  4. Step 4: Simplify right side
    185,826x = 156,521,514,384
  5. Step 5: Solve for x
    x = 156,521,514,384/185,826
  6. Step 6: Final answer
    x = 842,301.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.