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Finding the Third Proportional to 151,204 and 325,520

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Solution

The third proportional to 151,204 and 325,520 is: 700,796.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,204 : 325,520 = 325,520 : x
  2. Step 2: Convert to fraction form
    151,204/325,520 = 325,520/x
  3. Step 3: Cross multiply
    151,204x = 325,520 × 325,520
  4. Step 4: Simplify right side
    151,204x = 105,963,270,400
  5. Step 5: Solve for x
    x = 105,963,270,400/151,204
  6. Step 6: Final answer
    x = 700,796.74

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.