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Finding the Third Proportional to 189,325 and 410,192.75

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Solution

The third proportional to 189,325 and 410,192.75 is: 888,726.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,325 : 410,192.75 = 410,192.75 : x
  2. Step 2: Convert to fraction form
    189,325/410,192.75 = 410,192.75/x
  3. Step 3: Cross multiply
    189,325x = 410,192.75 × 410,192.75
  4. Step 4: Simplify right side
    189,325x = 168,258,092,152.56
  5. Step 5: Solve for x
    x = 168,258,092,152.56/189,325
  6. Step 6: Final answer
    x = 888,726.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.