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Finding the Third Proportional to 166,864 and 359,968

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Solution

The third proportional to 166,864 and 359,968 is: 776,542.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,864 : 359,968 = 359,968 : x
  2. Step 2: Convert to fraction form
    166,864/359,968 = 359,968/x
  3. Step 3: Cross multiply
    166,864x = 359,968 × 359,968
  4. Step 4: Simplify right side
    166,864x = 129,576,961,024
  5. Step 5: Solve for x
    x = 129,576,961,024/166,864
  6. Step 6: Final answer
    x = 776,542.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.