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Finding the Third Proportional to 188,376 and 409,152

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Solution

The third proportional to 188,376 and 409,152 is: 888,676.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,376 : 409,152 = 409,152 : x
  2. Step 2: Convert to fraction form
    188,376/409,152 = 409,152/x
  3. Step 3: Cross multiply
    188,376x = 409,152 × 409,152
  4. Step 4: Simplify right side
    188,376x = 167,405,359,104
  5. Step 5: Solve for x
    x = 167,405,359,104/188,376
  6. Step 6: Final answer
    x = 888,676.68

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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.