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Finding the Third Proportional to 131,206 and 271,747

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Solution

The third proportional to 131,206 and 271,747 is: 562,828.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,206 : 271,747 = 271,747 : x
  2. Step 2: Convert to fraction form
    131,206/271,747 = 271,747/x
  3. Step 3: Cross multiply
    131,206x = 271,747 × 271,747
  4. Step 4: Simplify right side
    131,206x = 73,846,432,009
  5. Step 5: Solve for x
    x = 73,846,432,009/131,206
  6. Step 6: Final answer
    x = 562,828.16

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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.