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Finding the Third Proportional to 165,520.13 and 368,516.25

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Solution

The third proportional to 165,520.13 and 368,516.25 is: 820,469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,520.13 : 368,516.25 = 368,516.25 : x
  2. Step 2: Convert to fraction form
    165,520.13/368,516.25 = 368,516.25/x
  3. Step 3: Cross multiply
    165,520.13x = 368,516.25 × 368,516.25
  4. Step 4: Simplify right side
    165,520.13x = 135,804,226,514.06
  5. Step 5: Solve for x
    x = 135,804,226,514.06/165,520.13
  6. Step 6: Final answer
    x = 820,469.57

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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.