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Finding the Third Proportional to 183,733 and 395,623

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Solution

The third proportional to 183,733 and 395,623 is: 851,875.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,733 : 395,623 = 395,623 : x
  2. Step 2: Convert to fraction form
    183,733/395,623 = 395,623/x
  3. Step 3: Cross multiply
    183,733x = 395,623 × 395,623
  4. Step 4: Simplify right side
    183,733x = 156,517,558,129
  5. Step 5: Solve for x
    x = 156,517,558,129/183,733
  6. Step 6: Final answer
    x = 851,875.05

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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.