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Finding the Third Proportional to 116,567 and 180,015

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Solution

The third proportional to 116,567 and 180,015 is: 277,998.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,567 : 180,015 = 180,015 : x
  2. Step 2: Convert to fraction form
    116,567/180,015 = 180,015/x
  3. Step 3: Cross multiply
    116,567x = 180,015 × 180,015
  4. Step 4: Simplify right side
    116,567x = 32,405,400,225
  5. Step 5: Solve for x
    x = 32,405,400,225/116,567
  6. Step 6: Final answer
    x = 277,998.06

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.