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Finding the Third Proportional to 192,858.75 and 289,098

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Solution

The third proportional to 192,858.75 and 289,098 is: 433,362.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,858.75 : 289,098 = 289,098 : x
  2. Step 2: Convert to fraction form
    192,858.75/289,098 = 289,098/x
  3. Step 3: Cross multiply
    192,858.75x = 289,098 × 289,098
  4. Step 4: Simplify right side
    192,858.75x = 83,577,653,604
  5. Step 5: Solve for x
    x = 83,577,653,604/192,858.75
  6. Step 6: Final answer
    x = 433,362.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.