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Finding the Third Proportional to 189,754 and 407,648

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Solution

The third proportional to 189,754 and 407,648 is: 875,749.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,754 : 407,648 = 407,648 : x
  2. Step 2: Convert to fraction form
    189,754/407,648 = 407,648/x
  3. Step 3: Cross multiply
    189,754x = 407,648 × 407,648
  4. Step 4: Simplify right side
    189,754x = 166,176,891,904
  5. Step 5: Solve for x
    x = 166,176,891,904/189,754
  6. Step 6: Final answer
    x = 875,749.09

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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.