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Finding the Third Proportional to 177,520.50 and 386,145

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Solution

The third proportional to 177,520.50 and 386,145 is: 839,947.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,520.50 : 386,145 = 386,145 : x
  2. Step 2: Convert to fraction form
    177,520.50/386,145 = 386,145/x
  3. Step 3: Cross multiply
    177,520.50x = 386,145 × 386,145
  4. Step 4: Simplify right side
    177,520.50x = 149,107,961,025
  5. Step 5: Solve for x
    x = 149,107,961,025/177,520.50
  6. Step 6: Final answer
    x = 839,947.84

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Why These Related Problems?

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