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Finding the Third Proportional to 165,576 and 262,296

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Solution

The third proportional to 165,576 and 262,296 is: 415,514.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,576 : 262,296 = 262,296 : x
  2. Step 2: Convert to fraction form
    165,576/262,296 = 262,296/x
  3. Step 3: Cross multiply
    165,576x = 262,296 × 262,296
  4. Step 4: Simplify right side
    165,576x = 68,799,191,616
  5. Step 5: Solve for x
    x = 68,799,191,616/165,576
  6. Step 6: Final answer
    x = 415,514.28

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.