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Finding the Third Proportional to 166,486.50 and 361,251

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Solution

The third proportional to 166,486.50 and 361,251 is: 783,861.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,486.50 : 361,251 = 361,251 : x
  2. Step 2: Convert to fraction form
    166,486.50/361,251 = 361,251/x
  3. Step 3: Cross multiply
    166,486.50x = 361,251 × 361,251
  4. Step 4: Simplify right side
    166,486.50x = 130,502,285,001
  5. Step 5: Solve for x
    x = 130,502,285,001/166,486.50
  6. Step 6: Final answer
    x = 783,861.06

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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.