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Finding the Third Proportional to 165,596.63 and 262,645.88

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Solution

The third proportional to 165,596.63 and 262,645.88 is: 416,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,596.63 : 262,645.88 = 262,645.88 : x
  2. Step 2: Convert to fraction form
    165,596.63/262,645.88 = 262,645.88/x
  3. Step 3: Cross multiply
    165,596.63x = 262,645.88 × 262,645.88
  4. Step 4: Simplify right side
    165,596.63x = 68,982,855,654.52
  5. Step 5: Solve for x
    x = 68,982,855,654.52/165,596.63
  6. Step 6: Final answer
    x = 416,571.63

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.