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Finding the Third Proportional to 166,361 and 360,749

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Solution

The third proportional to 166,361 and 360,749 is: 782,273.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,361 : 360,749 = 360,749 : x
  2. Step 2: Convert to fraction form
    166,361/360,749 = 360,749/x
  3. Step 3: Cross multiply
    166,361x = 360,749 × 360,749
  4. Step 4: Simplify right side
    166,361x = 130,139,841,001
  5. Step 5: Solve for x
    x = 130,139,841,001/166,361
  6. Step 6: Final answer
    x = 782,273.74

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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.