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Finding the Third Proportional to 167,838 and 364,116

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Solution

The third proportional to 167,838 and 364,116 is: 789,931.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,838 : 364,116 = 364,116 : x
  2. Step 2: Convert to fraction form
    167,838/364,116 = 364,116/x
  3. Step 3: Cross multiply
    167,838x = 364,116 × 364,116
  4. Step 4: Simplify right side
    167,838x = 132,580,461,456
  5. Step 5: Solve for x
    x = 132,580,461,456/167,838
  6. Step 6: Final answer
    x = 789,931.13

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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.