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Finding the Third Proportional to 165,085 and 262,604

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Solution

The third proportional to 165,085 and 262,604 is: 417,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,085 : 262,604 = 262,604 : x
  2. Step 2: Convert to fraction form
    165,085/262,604 = 262,604/x
  3. Step 3: Cross multiply
    165,085x = 262,604 × 262,604
  4. Step 4: Simplify right side
    165,085x = 68,960,860,816
  5. Step 5: Solve for x
    x = 68,960,860,816/165,085
  6. Step 6: Final answer
    x = 417,729.42

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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.