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Finding the Third Proportional to 177,325.50 and 271,290.75

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Solution

The third proportional to 177,325.50 and 271,290.75 is: 415,048.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,325.50 : 271,290.75 = 271,290.75 : x
  2. Step 2: Convert to fraction form
    177,325.50/271,290.75 = 271,290.75/x
  3. Step 3: Cross multiply
    177,325.50x = 271,290.75 × 271,290.75
  4. Step 4: Simplify right side
    177,325.50x = 73,598,671,035.56
  5. Step 5: Solve for x
    x = 73,598,671,035.56/177,325.50
  6. Step 6: Final answer
    x = 415,048.43

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.