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Finding the Third Proportional to 114,217.50 and 250,647

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Solution

The third proportional to 114,217.50 and 250,647 is: 550,037.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,217.50 : 250,647 = 250,647 : x
  2. Step 2: Convert to fraction form
    114,217.50/250,647 = 250,647/x
  3. Step 3: Cross multiply
    114,217.50x = 250,647 × 250,647
  4. Step 4: Simplify right side
    114,217.50x = 62,823,918,609
  5. Step 5: Solve for x
    x = 62,823,918,609/114,217.50
  6. Step 6: Final answer
    x = 550,037.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.