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Finding the Third Proportional to 176,198 and 366,988

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Solution

The third proportional to 176,198 and 366,988 is: 764,368.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,198 : 366,988 = 366,988 : x
  2. Step 2: Convert to fraction form
    176,198/366,988 = 366,988/x
  3. Step 3: Cross multiply
    176,198x = 366,988 × 366,988
  4. Step 4: Simplify right side
    176,198x = 134,680,192,144
  5. Step 5: Solve for x
    x = 134,680,192,144/176,198
  6. Step 6: Final answer
    x = 764,368.45

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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.