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Finding the Third Proportional to 177,450 and 384,426

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Solution

The third proportional to 177,450 and 384,426 is: 832,816.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,450 : 384,426 = 384,426 : x
  2. Step 2: Convert to fraction form
    177,450/384,426 = 384,426/x
  3. Step 3: Cross multiply
    177,450x = 384,426 × 384,426
  4. Step 4: Simplify right side
    177,450x = 147,783,349,476
  5. Step 5: Solve for x
    x = 147,783,349,476/177,450
  6. Step 6: Final answer
    x = 832,816.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.