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Finding the Third Proportional to 116,619 and 185,654.25

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Solution

The third proportional to 116,619 and 185,654.25 is: 295,556.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,619 : 185,654.25 = 185,654.25 : x
  2. Step 2: Convert to fraction form
    116,619/185,654.25 = 185,654.25/x
  3. Step 3: Cross multiply
    116,619x = 185,654.25 × 185,654.25
  4. Step 4: Simplify right side
    116,619x = 34,467,500,543.06
  5. Step 5: Solve for x
    x = 34,467,500,543.06/116,619
  6. Step 6: Final answer
    x = 295,556.47

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