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Finding the Third Proportional to 169,448 and 362,162

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Solution

The third proportional to 169,448 and 362,162 is: 774,050.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,448 : 362,162 = 362,162 : x
  2. Step 2: Convert to fraction form
    169,448/362,162 = 362,162/x
  3. Step 3: Cross multiply
    169,448x = 362,162 × 362,162
  4. Step 4: Simplify right side
    169,448x = 131,161,314,244
  5. Step 5: Solve for x
    x = 131,161,314,244/169,448
  6. Step 6: Final answer
    x = 774,050.53

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.