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Finding the Third Proportional to 166,932.25 and 393,669.25

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Solution

The third proportional to 166,932.25 and 393,669.25 is: 928,373.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,932.25 : 393,669.25 = 393,669.25 : x
  2. Step 2: Convert to fraction form
    166,932.25/393,669.25 = 393,669.25/x
  3. Step 3: Cross multiply
    166,932.25x = 393,669.25 × 393,669.25
  4. Step 4: Simplify right side
    166,932.25x = 154,975,478,395.56
  5. Step 5: Solve for x
    x = 154,975,478,395.56/166,932.25
  6. Step 6: Final answer
    x = 928,373.51

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.