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Finding the Third Proportional to 166,500 and 255,318

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Solution

The third proportional to 166,500 and 255,318 is: 391,515.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,500 : 255,318 = 255,318 : x
  2. Step 2: Convert to fraction form
    166,500/255,318 = 255,318/x
  3. Step 3: Cross multiply
    166,500x = 255,318 × 255,318
  4. Step 4: Simplify right side
    166,500x = 65,187,281,124
  5. Step 5: Solve for x
    x = 65,187,281,124/166,500
  6. Step 6: Final answer
    x = 391,515.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.