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Finding the Third Proportional to 116,658.75 and 186,065.25

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Solution

The third proportional to 116,658.75 and 186,065.25 is: 296,765.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,658.75 : 186,065.25 = 186,065.25 : x
  2. Step 2: Convert to fraction form
    116,658.75/186,065.25 = 186,065.25/x
  3. Step 3: Cross multiply
    116,658.75x = 186,065.25 × 186,065.25
  4. Step 4: Simplify right side
    116,658.75x = 34,620,277,257.56
  5. Step 5: Solve for x
    x = 34,620,277,257.56/116,658.75
  6. Step 6: Final answer
    x = 296,765.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.