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Finding the Third Proportional to 84,674 and 189,396

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Solution

The third proportional to 84,674 and 189,396 is: 423,634.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,674 : 189,396 = 189,396 : x
  2. Step 2: Convert to fraction form
    84,674/189,396 = 189,396/x
  3. Step 3: Cross multiply
    84,674x = 189,396 × 189,396
  4. Step 4: Simplify right side
    84,674x = 35,870,844,816
  5. Step 5: Solve for x
    x = 35,870,844,816/84,674
  6. Step 6: Final answer
    x = 423,634.70

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.