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Finding the Third Proportional to 171,635.75 and 373,784.50

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Solution

The third proportional to 171,635.75 and 373,784.50 is: 814,019.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,635.75 : 373,784.50 = 373,784.50 : x
  2. Step 2: Convert to fraction form
    171,635.75/373,784.50 = 373,784.50/x
  3. Step 3: Cross multiply
    171,635.75x = 373,784.50 × 373,784.50
  4. Step 4: Simplify right side
    171,635.75x = 139,714,852,440.25
  5. Step 5: Solve for x
    x = 139,714,852,440.25/171,635.75
  6. Step 6: Final answer
    x = 814,019.53

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