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Finding the Third Proportional to 166,669.31 and 359,400.38

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Solution

The third proportional to 166,669.31 and 359,400.38 is: 774,999.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,669.31 : 359,400.38 = 359,400.38 : x
  2. Step 2: Convert to fraction form
    166,669.31/359,400.38 = 359,400.38/x
  3. Step 3: Cross multiply
    166,669.31x = 359,400.38 × 359,400.38
  4. Step 4: Simplify right side
    166,669.31x = 129,168,629,550.14
  5. Step 5: Solve for x
    x = 129,168,629,550.14/166,669.31
  6. Step 6: Final answer
    x = 774,999.47

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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.