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Finding the Third Proportional to 131,208 and 271,754

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Solution

The third proportional to 131,208 and 271,754 is: 562,848.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,208 : 271,754 = 271,754 : x
  2. Step 2: Convert to fraction form
    131,208/271,754 = 271,754/x
  3. Step 3: Cross multiply
    131,208x = 271,754 × 271,754
  4. Step 4: Simplify right side
    131,208x = 73,850,236,516
  5. Step 5: Solve for x
    x = 73,850,236,516/131,208
  6. Step 6: Final answer
    x = 562,848.58

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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.