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Finding the Third Proportional to 194,072 and 308,608

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Solution

The third proportional to 194,072 and 308,608 is: 490,740.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,072 : 308,608 = 308,608 : x
  2. Step 2: Convert to fraction form
    194,072/308,608 = 308,608/x
  3. Step 3: Cross multiply
    194,072x = 308,608 × 308,608
  4. Step 4: Simplify right side
    194,072x = 95,238,897,664
  5. Step 5: Solve for x
    x = 95,238,897,664/194,072
  6. Step 6: Final answer
    x = 490,740.02

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.