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Finding the Third Proportional to 176,964.75 and 382,201.03

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Solution

The third proportional to 176,964.75 and 382,201.03 is: 825,461.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,964.75 : 382,201.03 = 382,201.03 : x
  2. Step 2: Convert to fraction form
    176,964.75/382,201.03 = 382,201.03/x
  3. Step 3: Cross multiply
    176,964.75x = 382,201.03 × 382,201.03
  4. Step 4: Simplify right side
    176,964.75x = 146,077,628,288.56
  5. Step 5: Solve for x
    x = 146,077,628,288.56/176,964.75
  6. Step 6: Final answer
    x = 825,461.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.