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Finding the Third Proportional to 131,200 and 271,735

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Solution

The third proportional to 131,200 and 271,735 is: 562,804.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,200 : 271,735 = 271,735 : x
  2. Step 2: Convert to fraction form
    131,200/271,735 = 271,735/x
  3. Step 3: Cross multiply
    131,200x = 271,735 × 271,735
  4. Step 4: Simplify right side
    131,200x = 73,839,910,225
  5. Step 5: Solve for x
    x = 73,839,910,225/131,200
  6. Step 6: Final answer
    x = 562,804.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.