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Finding the Third Proportional to 193,110.75 and 282,753

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Solution

The third proportional to 193,110.75 and 282,753 is: 414,007.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,110.75 : 282,753 = 282,753 : x
  2. Step 2: Convert to fraction form
    193,110.75/282,753 = 282,753/x
  3. Step 3: Cross multiply
    193,110.75x = 282,753 × 282,753
  4. Step 4: Simplify right side
    193,110.75x = 79,949,259,009
  5. Step 5: Solve for x
    x = 79,949,259,009/193,110.75
  6. Step 6: Final answer
    x = 414,007.29

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.