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Finding the Third Proportional to 151,284 and 329,096

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Solution

The third proportional to 151,284 and 329,096 is: 715,899.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,284 : 329,096 = 329,096 : x
  2. Step 2: Convert to fraction form
    151,284/329,096 = 329,096/x
  3. Step 3: Cross multiply
    151,284x = 329,096 × 329,096
  4. Step 4: Simplify right side
    151,284x = 108,304,177,216
  5. Step 5: Solve for x
    x = 108,304,177,216/151,284
  6. Step 6: Final answer
    x = 715,899.75

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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.