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Finding the Third Proportional to 218,201 and 338,652

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Solution

The third proportional to 218,201 and 338,652 is: 525,594.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,201 : 338,652 = 338,652 : x
  2. Step 2: Convert to fraction form
    218,201/338,652 = 338,652/x
  3. Step 3: Cross multiply
    218,201x = 338,652 × 338,652
  4. Step 4: Simplify right side
    218,201x = 114,685,177,104
  5. Step 5: Solve for x
    x = 114,685,177,104/218,201
  6. Step 6: Final answer
    x = 525,594.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.