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Finding the Third Proportional to 178,162 and 392,036

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Solution

The third proportional to 178,162 and 392,036 is: 862,654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,162 : 392,036 = 392,036 : x
  2. Step 2: Convert to fraction form
    178,162/392,036 = 392,036/x
  3. Step 3: Cross multiply
    178,162x = 392,036 × 392,036
  4. Step 4: Simplify right side
    178,162x = 153,692,225,296
  5. Step 5: Solve for x
    x = 153,692,225,296/178,162
  6. Step 6: Final answer
    x = 862,654.36

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Why These Related Problems?

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