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Finding the Third Proportional to 165,584 and 368,640

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Solution

The third proportional to 165,584 and 368,640 is: 820,703.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,584 : 368,640 = 368,640 : x
  2. Step 2: Convert to fraction form
    165,584/368,640 = 368,640/x
  3. Step 3: Cross multiply
    165,584x = 368,640 × 368,640
  4. Step 4: Simplify right side
    165,584x = 135,895,449,600
  5. Step 5: Solve for x
    x = 135,895,449,600/165,584
  6. Step 6: Final answer
    x = 820,703.99

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.