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Finding the Third Proportional to 183,656 and 395,320

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Solution

The third proportional to 183,656 and 395,320 is: 850,927.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,656 : 395,320 = 395,320 : x
  2. Step 2: Convert to fraction form
    183,656/395,320 = 395,320/x
  3. Step 3: Cross multiply
    183,656x = 395,320 × 395,320
  4. Step 4: Simplify right side
    183,656x = 156,277,902,400
  5. Step 5: Solve for x
    x = 156,277,902,400/183,656
  6. Step 6: Final answer
    x = 850,927.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.