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Finding the Third Proportional to 165,440 and 362,176

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Solution

The third proportional to 165,440 and 362,176 is: 792,864.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,440 : 362,176 = 362,176 : x
  2. Step 2: Convert to fraction form
    165,440/362,176 = 362,176/x
  3. Step 3: Cross multiply
    165,440x = 362,176 × 362,176
  4. Step 4: Simplify right side
    165,440x = 131,171,454,976
  5. Step 5: Solve for x
    x = 131,171,454,976/165,440
  6. Step 6: Final answer
    x = 792,864.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.