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Finding the Third Proportional to 166,450 and 235,522

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Solution

The third proportional to 166,450 and 235,522 is: 333,256.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,450 : 235,522 = 235,522 : x
  2. Step 2: Convert to fraction form
    166,450/235,522 = 235,522/x
  3. Step 3: Cross multiply
    166,450x = 235,522 × 235,522
  4. Step 4: Simplify right side
    166,450x = 55,470,612,484
  5. Step 5: Solve for x
    x = 55,470,612,484/166,450
  6. Step 6: Final answer
    x = 333,256.91

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.