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Finding the Third Proportional to 171,664.50 and 373,834.13

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Solution

The third proportional to 171,664.50 and 373,834.13 is: 814,099.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,664.50 : 373,834.13 = 373,834.13 : x
  2. Step 2: Convert to fraction form
    171,664.50/373,834.13 = 373,834.13/x
  3. Step 3: Cross multiply
    171,664.50x = 373,834.13 × 373,834.13
  4. Step 4: Simplify right side
    171,664.50x = 139,751,953,014.52
  5. Step 5: Solve for x
    x = 139,751,953,014.52/171,664.50
  6. Step 6: Final answer
    x = 814,099.32

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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.