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Finding the Third Proportional to 118,600 and 180,344

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Solution

The third proportional to 118,600 and 180,344 is: 274,232.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,600 : 180,344 = 180,344 : x
  2. Step 2: Convert to fraction form
    118,600/180,344 = 180,344/x
  3. Step 3: Cross multiply
    118,600x = 180,344 × 180,344
  4. Step 4: Simplify right side
    118,600x = 32,523,958,336
  5. Step 5: Solve for x
    x = 32,523,958,336/118,600
  6. Step 6: Final answer
    x = 274,232.36

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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.