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Finding the Third Proportional to 150,864 and 325,104

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Solution

The third proportional to 150,864 and 325,104 is: 700,582.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,864 : 325,104 = 325,104 : x
  2. Step 2: Convert to fraction form
    150,864/325,104 = 325,104/x
  3. Step 3: Cross multiply
    150,864x = 325,104 × 325,104
  4. Step 4: Simplify right side
    150,864x = 105,692,610,816
  5. Step 5: Solve for x
    x = 105,692,610,816/150,864
  6. Step 6: Final answer
    x = 700,582.05

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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.