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Finding the Third Proportional to 166,836 and 245,830

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Solution

The third proportional to 166,836 and 245,830 is: 362,226.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,836 : 245,830 = 245,830 : x
  2. Step 2: Convert to fraction form
    166,836/245,830 = 245,830/x
  3. Step 3: Cross multiply
    166,836x = 245,830 × 245,830
  4. Step 4: Simplify right side
    166,836x = 60,432,388,900
  5. Step 5: Solve for x
    x = 60,432,388,900/166,836
  6. Step 6: Final answer
    x = 362,226.31

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.