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Finding the Third Proportional to 115,257.50 and 177,998

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Solution

The third proportional to 115,257.50 and 177,998 is: 274,891.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,257.50 : 177,998 = 177,998 : x
  2. Step 2: Convert to fraction form
    115,257.50/177,998 = 177,998/x
  3. Step 3: Cross multiply
    115,257.50x = 177,998 × 177,998
  4. Step 4: Simplify right side
    115,257.50x = 31,683,288,004
  5. Step 5: Solve for x
    x = 31,683,288,004/115,257.50
  6. Step 6: Final answer
    x = 274,891.33

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.