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Finding the Third Proportional to 165,554 and 368,580

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Solution

The third proportional to 165,554 and 368,580 is: 820,585.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,554 : 368,580 = 368,580 : x
  2. Step 2: Convert to fraction form
    165,554/368,580 = 368,580/x
  3. Step 3: Cross multiply
    165,554x = 368,580 × 368,580
  4. Step 4: Simplify right side
    165,554x = 135,851,216,400
  5. Step 5: Solve for x
    x = 135,851,216,400/165,554
  6. Step 6: Final answer
    x = 820,585.53

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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.