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Finding the Third Proportional to 166,140 and 360,324

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Solution

The third proportional to 166,140 and 360,324 is: 781,469.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,140 : 360,324 = 360,324 : x
  2. Step 2: Convert to fraction form
    166,140/360,324 = 360,324/x
  3. Step 3: Cross multiply
    166,140x = 360,324 × 360,324
  4. Step 4: Simplify right side
    166,140x = 129,833,384,976
  5. Step 5: Solve for x
    x = 129,833,384,976/166,140
  6. Step 6: Final answer
    x = 781,469.75

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.