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Finding the Third Proportional to 176,765.63 and 384,267.38

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Solution

The third proportional to 176,765.63 and 384,267.38 is: 835,351.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,765.63 : 384,267.38 = 384,267.38 : x
  2. Step 2: Convert to fraction form
    176,765.63/384,267.38 = 384,267.38/x
  3. Step 3: Cross multiply
    176,765.63x = 384,267.38 × 384,267.38
  4. Step 4: Simplify right side
    176,765.63x = 147,661,415,489.39
  5. Step 5: Solve for x
    x = 147,661,415,489.39/176,765.63
  6. Step 6: Final answer
    x = 835,351.42

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.