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Finding the Third Proportional to 165,582 and 368,636

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Solution

The third proportional to 165,582 and 368,636 is: 820,696.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,582 : 368,636 = 368,636 : x
  2. Step 2: Convert to fraction form
    165,582/368,636 = 368,636/x
  3. Step 3: Cross multiply
    165,582x = 368,636 × 368,636
  4. Step 4: Simplify right side
    165,582x = 135,892,500,496
  5. Step 5: Solve for x
    x = 135,892,500,496/165,582
  6. Step 6: Final answer
    x = 820,696.09

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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.