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Finding the Third Proportional to 116,305.50 and 167,680.50

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Solution

The third proportional to 116,305.50 and 167,680.50 is: 241,749.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,305.50 : 167,680.50 = 167,680.50 : x
  2. Step 2: Convert to fraction form
    116,305.50/167,680.50 = 167,680.50/x
  3. Step 3: Cross multiply
    116,305.50x = 167,680.50 × 167,680.50
  4. Step 4: Simplify right side
    116,305.50x = 28,116,750,080.25
  5. Step 5: Solve for x
    x = 28,116,750,080.25/116,305.50
  6. Step 6: Final answer
    x = 241,749.10

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.