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Finding the Third Proportional to 166,466.25 and 361,215

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Solution

The third proportional to 166,466.25 and 361,215 is: 783,800.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,466.25 : 361,215 = 361,215 : x
  2. Step 2: Convert to fraction form
    166,466.25/361,215 = 361,215/x
  3. Step 3: Cross multiply
    166,466.25x = 361,215 × 361,215
  4. Step 4: Simplify right side
    166,466.25x = 130,476,276,225
  5. Step 5: Solve for x
    x = 130,476,276,225/166,466.25
  6. Step 6: Final answer
    x = 783,800.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.