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Finding the Third Proportional to 177,604.50 and 380,481

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Solution

The third proportional to 177,604.50 and 380,481 is: 815,102.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,604.50 : 380,481 = 380,481 : x
  2. Step 2: Convert to fraction form
    177,604.50/380,481 = 380,481/x
  3. Step 3: Cross multiply
    177,604.50x = 380,481 × 380,481
  4. Step 4: Simplify right side
    177,604.50x = 144,765,791,361
  5. Step 5: Solve for x
    x = 144,765,791,361/177,604.50
  6. Step 6: Final answer
    x = 815,102.05

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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.