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Finding the Third Proportional to 183,894.50 and 395,967.88

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Solution

The third proportional to 183,894.50 and 395,967.88 is: 852,611.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,894.50 : 395,967.88 = 395,967.88 : x
  2. Step 2: Convert to fraction form
    183,894.50/395,967.88 = 395,967.88/x
  3. Step 3: Cross multiply
    183,894.50x = 395,967.88 × 395,967.88
  4. Step 4: Simplify right side
    183,894.50x = 156,790,558,032.02
  5. Step 5: Solve for x
    x = 156,790,558,032.02/183,894.50
  6. Step 6: Final answer
    x = 852,611.46

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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.