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Finding the Third Proportional to 180,097 and 260,847

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Solution

The third proportional to 180,097 and 260,847 is: 377,802.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,097 : 260,847 = 260,847 : x
  2. Step 2: Convert to fraction form
    180,097/260,847 = 260,847/x
  3. Step 3: Cross multiply
    180,097x = 260,847 × 260,847
  4. Step 4: Simplify right side
    180,097x = 68,041,157,409
  5. Step 5: Solve for x
    x = 68,041,157,409/180,097
  6. Step 6: Final answer
    x = 377,802.84

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.