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Finding the Third Proportional to 80,609.50 and 175,556

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Solution

The third proportional to 80,609.50 and 175,556 is: 382,335.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,609.50 : 175,556 = 175,556 : x
  2. Step 2: Convert to fraction form
    80,609.50/175,556 = 175,556/x
  3. Step 3: Cross multiply
    80,609.50x = 175,556 × 175,556
  4. Step 4: Simplify right side
    80,609.50x = 30,819,909,136
  5. Step 5: Solve for x
    x = 30,819,909,136/80,609.50
  6. Step 6: Final answer
    x = 382,335.94

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.