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Finding the Third Proportional to 116,288 and 174,016

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Solution

The third proportional to 116,288 and 174,016 is: 260,401.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,288 : 174,016 = 174,016 : x
  2. Step 2: Convert to fraction form
    116,288/174,016 = 174,016/x
  3. Step 3: Cross multiply
    116,288x = 174,016 × 174,016
  4. Step 4: Simplify right side
    116,288x = 30,281,568,256
  5. Step 5: Solve for x
    x = 30,281,568,256/116,288
  6. Step 6: Final answer
    x = 260,401.49

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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.