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Finding the Third Proportional to 189,758 and 407,656

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Solution

The third proportional to 189,758 and 407,656 is: 875,765.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,758 : 407,656 = 407,656 : x
  2. Step 2: Convert to fraction form
    189,758/407,656 = 407,656/x
  3. Step 3: Cross multiply
    189,758x = 407,656 × 407,656
  4. Step 4: Simplify right side
    189,758x = 166,183,414,336
  5. Step 5: Solve for x
    x = 166,183,414,336/189,758
  6. Step 6: Final answer
    x = 875,765.00

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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.