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Finding the Third Proportional to 167,116 and 364,720

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Solution

The third proportional to 167,116 and 364,720 is: 795,978.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,116 : 364,720 = 364,720 : x
  2. Step 2: Convert to fraction form
    167,116/364,720 = 364,720/x
  3. Step 3: Cross multiply
    167,116x = 364,720 × 364,720
  4. Step 4: Simplify right side
    167,116x = 133,020,678,400
  5. Step 5: Solve for x
    x = 133,020,678,400/167,116
  6. Step 6: Final answer
    x = 795,978.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.