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Finding the Third Proportional to 115,569.50 and 248,635

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Solution

The third proportional to 115,569.50 and 248,635 is: 534,910.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,569.50 : 248,635 = 248,635 : x
  2. Step 2: Convert to fraction form
    115,569.50/248,635 = 248,635/x
  3. Step 3: Cross multiply
    115,569.50x = 248,635 × 248,635
  4. Step 4: Simplify right side
    115,569.50x = 61,819,363,225
  5. Step 5: Solve for x
    x = 61,819,363,225/115,569.50
  6. Step 6: Final answer
    x = 534,910.71

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.