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Finding the Third Proportional to 178,848 and 392,958

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Solution

The third proportional to 178,848 and 392,958 is: 863,392.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,848 : 392,958 = 392,958 : x
  2. Step 2: Convert to fraction form
    178,848/392,958 = 392,958/x
  3. Step 3: Cross multiply
    178,848x = 392,958 × 392,958
  4. Step 4: Simplify right side
    178,848x = 154,415,989,764
  5. Step 5: Solve for x
    x = 154,415,989,764/178,848
  6. Step 6: Final answer
    x = 863,392.32

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.