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Finding the Third Proportional to 116,431.59 and 175,224.94

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Solution

The third proportional to 116,431.59 and 175,224.94 is: 263,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,431.59 : 175,224.94 = 175,224.94 : x
  2. Step 2: Convert to fraction form
    116,431.59/175,224.94 = 175,224.94/x
  3. Step 3: Cross multiply
    116,431.59x = 175,224.94 × 175,224.94
  4. Step 4: Simplify right side
    116,431.59x = 30,703,778,721.88
  5. Step 5: Solve for x
    x = 30,703,778,721.88/116,431.59
  6. Step 6: Final answer
    x = 263,706.59

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