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Finding the Third Proportional to 118,604 and 180,350

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Solution

The third proportional to 118,604 and 180,350 is: 274,241.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,604 : 180,350 = 180,350 : x
  2. Step 2: Convert to fraction form
    118,604/180,350 = 180,350/x
  3. Step 3: Cross multiply
    118,604x = 180,350 × 180,350
  4. Step 4: Simplify right side
    118,604x = 32,526,122,500
  5. Step 5: Solve for x
    x = 32,526,122,500/118,604
  6. Step 6: Final answer
    x = 274,241.36

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.