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Finding the Third Proportional to 218,214 and 329,265

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Solution

The third proportional to 218,214 and 329,265 is: 496,830.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,214 : 329,265 = 329,265 : x
  2. Step 2: Convert to fraction form
    218,214/329,265 = 329,265/x
  3. Step 3: Cross multiply
    218,214x = 329,265 × 329,265
  4. Step 4: Simplify right side
    218,214x = 108,415,440,225
  5. Step 5: Solve for x
    x = 108,415,440,225/218,214
  6. Step 6: Final answer
    x = 496,830.82

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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.