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Finding the Third Proportional to 168,223.50 and 359,775

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Solution

The third proportional to 168,223.50 and 359,775 is: 769,440.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    168,223.50 : 359,775 = 359,775 : x
  2. Step 2: Convert to fraction form
    168,223.50/359,775 = 359,775/x
  3. Step 3: Cross multiply
    168,223.50x = 359,775 × 359,775
  4. Step 4: Simplify right side
    168,223.50x = 129,438,050,625
  5. Step 5: Solve for x
    x = 129,438,050,625/168,223.50
  6. Step 6: Final answer
    x = 769,440.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.