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Finding the Third Proportional to 175,204 and 378,632

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Solution

The third proportional to 175,204 and 378,632 is: 818,258.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,204 : 378,632 = 378,632 : x
  2. Step 2: Convert to fraction form
    175,204/378,632 = 378,632/x
  3. Step 3: Cross multiply
    175,204x = 378,632 × 378,632
  4. Step 4: Simplify right side
    175,204x = 143,362,191,424
  5. Step 5: Solve for x
    x = 143,362,191,424/175,204
  6. Step 6: Final answer
    x = 818,258.67

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.