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Finding the Third Proportional to 131,206.50 and 271,747.50

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Solution

The third proportional to 131,206.50 and 271,747.50 is: 562,828.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,206.50 : 271,747.50 = 271,747.50 : x
  2. Step 2: Convert to fraction form
    131,206.50/271,747.50 = 271,747.50/x
  3. Step 3: Cross multiply
    131,206.50x = 271,747.50 × 271,747.50
  4. Step 4: Simplify right side
    131,206.50x = 73,846,703,756.25
  5. Step 5: Solve for x
    x = 73,846,703,756.25/131,206.50
  6. Step 6: Final answer
    x = 562,828.09

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