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Finding the Third Proportional to 165,371.63 and 362,255.63

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Solution

The third proportional to 165,371.63 and 362,255.63 is: 793,540.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,371.63 : 362,255.63 = 362,255.63 : x
  2. Step 2: Convert to fraction form
    165,371.63/362,255.63 = 362,255.63/x
  3. Step 3: Cross multiply
    165,371.63x = 362,255.63 × 362,255.63
  4. Step 4: Simplify right side
    165,371.63x = 131,229,137,844.14
  5. Step 5: Solve for x
    x = 131,229,137,844.14/165,371.63
  6. Step 6: Final answer
    x = 793,540.84

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.