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Finding the Third Proportional to 183,600 and 271,980

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Solution

The third proportional to 183,600 and 271,980 is: 402,903.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,600 : 271,980 = 271,980 : x
  2. Step 2: Convert to fraction form
    183,600/271,980 = 271,980/x
  3. Step 3: Cross multiply
    183,600x = 271,980 × 271,980
  4. Step 4: Simplify right side
    183,600x = 73,973,120,400
  5. Step 5: Solve for x
    x = 73,973,120,400/183,600
  6. Step 6: Final answer
    x = 402,903.71

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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.