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Finding the Third Proportional to 218,416.50 and 329,629.50

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Solution

The third proportional to 218,416.50 and 329,629.50 is: 497,469.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,416.50 : 329,629.50 = 329,629.50 : x
  2. Step 2: Convert to fraction form
    218,416.50/329,629.50 = 329,629.50/x
  3. Step 3: Cross multiply
    218,416.50x = 329,629.50 × 329,629.50
  4. Step 4: Simplify right side
    218,416.50x = 108,655,607,270.25
  5. Step 5: Solve for x
    x = 108,655,607,270.25/218,416.50
  6. Step 6: Final answer
    x = 497,469.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.