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Finding the Third Proportional to 183,780.25 and 395,719

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Solution

The third proportional to 183,780.25 and 395,719 is: 852,069.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,780.25 : 395,719 = 395,719 : x
  2. Step 2: Convert to fraction form
    183,780.25/395,719 = 395,719/x
  3. Step 3: Cross multiply
    183,780.25x = 395,719 × 395,719
  4. Step 4: Simplify right side
    183,780.25x = 156,593,526,961
  5. Step 5: Solve for x
    x = 156,593,526,961/183,780.25
  6. Step 6: Final answer
    x = 852,069.40

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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.