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Finding the Third Proportional to 174,609 and 381,202

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Solution

The third proportional to 174,609 and 381,202 is: 832,230.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,609 : 381,202 = 381,202 : x
  2. Step 2: Convert to fraction form
    174,609/381,202 = 381,202/x
  3. Step 3: Cross multiply
    174,609x = 381,202 × 381,202
  4. Step 4: Simplify right side
    174,609x = 145,314,964,804
  5. Step 5: Solve for x
    x = 145,314,964,804/174,609
  6. Step 6: Final answer
    x = 832,230.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.