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Finding the Third Proportional to 160,836 and 325,992

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Solution

The third proportional to 160,836 and 325,992 is: 660,740.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    160,836 : 325,992 = 325,992 : x
  2. Step 2: Convert to fraction form
    160,836/325,992 = 325,992/x
  3. Step 3: Cross multiply
    160,836x = 325,992 × 325,992
  4. Step 4: Simplify right side
    160,836x = 106,270,784,064
  5. Step 5: Solve for x
    x = 106,270,784,064/160,836
  6. Step 6: Final answer
    x = 660,740.03

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.