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Finding the Third Proportional to 167,576 and 364,240

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Solution

The third proportional to 167,576 and 364,240 is: 791,705.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,576 : 364,240 = 364,240 : x
  2. Step 2: Convert to fraction form
    167,576/364,240 = 364,240/x
  3. Step 3: Cross multiply
    167,576x = 364,240 × 364,240
  4. Step 4: Simplify right side
    167,576x = 132,670,777,600
  5. Step 5: Solve for x
    x = 132,670,777,600/167,576
  6. Step 6: Final answer
    x = 791,705.12

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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.