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Finding the Third Proportional to 161,596 and 347,180

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Solution

The third proportional to 161,596 and 347,180 is: 745,896.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,596 : 347,180 = 347,180 : x
  2. Step 2: Convert to fraction form
    161,596/347,180 = 347,180/x
  3. Step 3: Cross multiply
    161,596x = 347,180 × 347,180
  4. Step 4: Simplify right side
    161,596x = 120,533,952,400
  5. Step 5: Solve for x
    x = 120,533,952,400/161,596
  6. Step 6: Final answer
    x = 745,896.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.