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Finding the Third Proportional to 175,367 and 380,245

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Solution

The third proportional to 175,367 and 380,245 is: 824,478.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,367 : 380,245 = 380,245 : x
  2. Step 2: Convert to fraction form
    175,367/380,245 = 380,245/x
  3. Step 3: Cross multiply
    175,367x = 380,245 × 380,245
  4. Step 4: Simplify right side
    175,367x = 144,586,260,025
  5. Step 5: Solve for x
    x = 144,586,260,025/175,367
  6. Step 6: Final answer
    x = 824,478.15

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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.