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Finding the Third Proportional to 116,654.75 and 240,670

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Solution

The third proportional to 116,654.75 and 240,670 is: 496,525.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,654.75 : 240,670 = 240,670 : x
  2. Step 2: Convert to fraction form
    116,654.75/240,670 = 240,670/x
  3. Step 3: Cross multiply
    116,654.75x = 240,670 × 240,670
  4. Step 4: Simplify right side
    116,654.75x = 57,922,048,900
  5. Step 5: Solve for x
    x = 57,922,048,900/116,654.75
  6. Step 6: Final answer
    x = 496,525.42

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.