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Finding the Third Proportional to 177,493.50 and 382,050

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Solution

The third proportional to 177,493.50 and 382,050 is: 822,352.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,493.50 : 382,050 = 382,050 : x
  2. Step 2: Convert to fraction form
    177,493.50/382,050 = 382,050/x
  3. Step 3: Cross multiply
    177,493.50x = 382,050 × 382,050
  4. Step 4: Simplify right side
    177,493.50x = 145,962,202,500
  5. Step 5: Solve for x
    x = 145,962,202,500/177,493.50
  6. Step 6: Final answer
    x = 822,352.38

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.