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Finding the Third Proportional to 166,845 and 359,940

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Solution

The third proportional to 166,845 and 359,940 is: 776,509.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,845 : 359,940 = 359,940 : x
  2. Step 2: Convert to fraction form
    166,845/359,940 = 359,940/x
  3. Step 3: Cross multiply
    166,845x = 359,940 × 359,940
  4. Step 4: Simplify right side
    166,845x = 129,556,803,600
  5. Step 5: Solve for x
    x = 129,556,803,600/166,845
  6. Step 6: Final answer
    x = 776,509.96

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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.