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Finding the Third Proportional to 166,340 and 359,992

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Solution

The third proportional to 166,340 and 359,992 is: 779,092.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,340 : 359,992 = 359,992 : x
  2. Step 2: Convert to fraction form
    166,340/359,992 = 359,992/x
  3. Step 3: Cross multiply
    166,340x = 359,992 × 359,992
  4. Step 4: Simplify right side
    166,340x = 129,594,240,064
  5. Step 5: Solve for x
    x = 129,594,240,064/166,340
  6. Step 6: Final answer
    x = 779,092.46

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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.