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Finding the Third Proportional to 166,678 and 359,600

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Solution

The third proportional to 166,678 and 359,600 is: 775,820.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,678 : 359,600 = 359,600 : x
  2. Step 2: Convert to fraction form
    166,678/359,600 = 359,600/x
  3. Step 3: Cross multiply
    166,678x = 359,600 × 359,600
  4. Step 4: Simplify right side
    166,678x = 129,312,160,000
  5. Step 5: Solve for x
    x = 129,312,160,000/166,678
  6. Step 6: Final answer
    x = 775,820.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.