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Finding the Third Proportional to 114,111.28 and 178,999.88

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Solution

The third proportional to 114,111.28 and 178,999.88 is: 280,786.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,111.28 : 178,999.88 = 178,999.88 : x
  2. Step 2: Convert to fraction form
    114,111.28/178,999.88 = 178,999.88/x
  3. Step 3: Cross multiply
    114,111.28x = 178,999.88 × 178,999.88
  4. Step 4: Simplify right side
    114,111.28x = 32,040,955,250.02
  5. Step 5: Solve for x
    x = 32,040,955,250.02/114,111.28
  6. Step 6: Final answer
    x = 280,786.92

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.