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Finding the Third Proportional to 193,765.50 and 282,991.50

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Solution

The third proportional to 193,765.50 and 282,991.50 is: 413,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,765.50 : 282,991.50 = 282,991.50 : x
  2. Step 2: Convert to fraction form
    193,765.50/282,991.50 = 282,991.50/x
  3. Step 3: Cross multiply
    193,765.50x = 282,991.50 × 282,991.50
  4. Step 4: Simplify right side
    193,765.50x = 80,084,189,072.25
  5. Step 5: Solve for x
    x = 80,084,189,072.25/193,765.50
  6. Step 6: Final answer
    x = 413,304.69

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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.