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Finding the Third Proportional to 176,676 and 368,285.25

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Solution

The third proportional to 176,676 and 368,285.25 is: 767,699.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,676 : 368,285.25 = 368,285.25 : x
  2. Step 2: Convert to fraction form
    176,676/368,285.25 = 368,285.25/x
  3. Step 3: Cross multiply
    176,676x = 368,285.25 × 368,285.25
  4. Step 4: Simplify right side
    176,676x = 135,634,025,367.56
  5. Step 5: Solve for x
    x = 135,634,025,367.56/176,676
  6. Step 6: Final answer
    x = 767,699.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.