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Finding the Third Proportional to 161,574.38 and 347,136.75

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Solution

The third proportional to 161,574.38 and 347,136.75 is: 745,810.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,574.38 : 347,136.75 = 347,136.75 : x
  2. Step 2: Convert to fraction form
    161,574.38/347,136.75 = 347,136.75/x
  3. Step 3: Cross multiply
    161,574.38x = 347,136.75 × 347,136.75
  4. Step 4: Simplify right side
    161,574.38x = 120,503,923,200.56
  5. Step 5: Solve for x
    x = 120,503,923,200.56/161,574.38
  6. Step 6: Final answer
    x = 745,810.86

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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.