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Finding the Third Proportional to 165,550.50 and 368,574

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Solution

The third proportional to 165,550.50 and 368,574 is: 820,576.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,550.50 : 368,574 = 368,574 : x
  2. Step 2: Convert to fraction form
    165,550.50/368,574 = 368,574/x
  3. Step 3: Cross multiply
    165,550.50x = 368,574 × 368,574
  4. Step 4: Simplify right side
    165,550.50x = 135,846,793,476
  5. Step 5: Solve for x
    x = 135,846,793,476/165,550.50
  6. Step 6: Final answer
    x = 820,576.16

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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.