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Finding the Third Proportional to 177,463.50 and 275,310

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Solution

The third proportional to 177,463.50 and 275,310 is: 427,105.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,463.50 : 275,310 = 275,310 : x
  2. Step 2: Convert to fraction form
    177,463.50/275,310 = 275,310/x
  3. Step 3: Cross multiply
    177,463.50x = 275,310 × 275,310
  4. Step 4: Simplify right side
    177,463.50x = 75,795,596,100
  5. Step 5: Solve for x
    x = 75,795,596,100/177,463.50
  6. Step 6: Final answer
    x = 427,105.27

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.