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Finding the Third Proportional to 166,833 and 359,910

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Solution

The third proportional to 166,833 and 359,910 is: 776,436.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,833 : 359,910 = 359,910 : x
  2. Step 2: Convert to fraction form
    166,833/359,910 = 359,910/x
  3. Step 3: Cross multiply
    166,833x = 359,910 × 359,910
  4. Step 4: Simplify right side
    166,833x = 129,535,208,100
  5. Step 5: Solve for x
    x = 129,535,208,100/166,833
  6. Step 6: Final answer
    x = 776,436.37

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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.