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Finding the Third Proportional to 165,488 and 255,722

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Solution

The third proportional to 165,488 and 255,722 is: 395,157.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,488 : 255,722 = 255,722 : x
  2. Step 2: Convert to fraction form
    165,488/255,722 = 255,722/x
  3. Step 3: Cross multiply
    165,488x = 255,722 × 255,722
  4. Step 4: Simplify right side
    165,488x = 65,393,741,284
  5. Step 5: Solve for x
    x = 65,393,741,284/165,488
  6. Step 6: Final answer
    x = 395,157.00

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.