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Finding the Third Proportional to 166,832.16 and 359,908.31

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Solution

The third proportional to 166,832.16 and 359,908.31 is: 776,433.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,832.16 : 359,908.31 = 359,908.31 : x
  2. Step 2: Convert to fraction form
    166,832.16/359,908.31 = 359,908.31/x
  3. Step 3: Cross multiply
    166,832.16x = 359,908.31 × 359,908.31
  4. Step 4: Simplify right side
    166,832.16x = 129,533,993,406.60
  5. Step 5: Solve for x
    x = 129,533,993,406.60/166,832.16
  6. Step 6: Final answer
    x = 776,433.01

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.