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Finding the Third Proportional to 173,760.19 and 268,621.31

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Solution

The third proportional to 173,760.19 and 268,621.31 is: 415,270.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    173,760.19 : 268,621.31 = 268,621.31 : x
  2. Step 2: Convert to fraction form
    173,760.19/268,621.31 = 268,621.31/x
  3. Step 3: Cross multiply
    173,760.19x = 268,621.31 × 268,621.31
  4. Step 4: Simplify right side
    173,760.19x = 72,157,409,529.22
  5. Step 5: Solve for x
    x = 72,157,409,529.22/173,760.19
  6. Step 6: Final answer
    x = 415,270.09

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.