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Finding the Third Proportional to 86,256 and 176,814.75

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Solution

The third proportional to 86,256 and 176,814.75 is: 362,449.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,256 : 176,814.75 = 176,814.75 : x
  2. Step 2: Convert to fraction form
    86,256/176,814.75 = 176,814.75/x
  3. Step 3: Cross multiply
    86,256x = 176,814.75 × 176,814.75
  4. Step 4: Simplify right side
    86,256x = 31,263,455,817.56
  5. Step 5: Solve for x
    x = 31,263,455,817.56/86,256
  6. Step 6: Final answer
    x = 362,449.64

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.