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Finding the Third Proportional to 180,820 and 267,544.50

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Solution

The third proportional to 180,820 and 267,544.50 is: 395,863.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,820 : 267,544.50 = 267,544.50 : x
  2. Step 2: Convert to fraction form
    180,820/267,544.50 = 267,544.50/x
  3. Step 3: Cross multiply
    180,820x = 267,544.50 × 267,544.50
  4. Step 4: Simplify right side
    180,820x = 71,580,059,480.25
  5. Step 5: Solve for x
    x = 71,580,059,480.25/180,820
  6. Step 6: Final answer
    x = 395,863.62

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.