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Finding the Third Proportional to 177,293 and 384,124

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Solution

The third proportional to 177,293 and 384,124 is: 832,245.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,293 : 384,124 = 384,124 : x
  2. Step 2: Convert to fraction form
    177,293/384,124 = 384,124/x
  3. Step 3: Cross multiply
    177,293x = 384,124 × 384,124
  4. Step 4: Simplify right side
    177,293x = 147,551,247,376
  5. Step 5: Solve for x
    x = 147,551,247,376/177,293
  6. Step 6: Final answer
    x = 832,245.20

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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.