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Finding the Third Proportional to 151,296 and 325,376

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Solution

The third proportional to 151,296 and 325,376 is: 699,751.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,296 : 325,376 = 325,376 : x
  2. Step 2: Convert to fraction form
    151,296/325,376 = 325,376/x
  3. Step 3: Cross multiply
    151,296x = 325,376 × 325,376
  4. Step 4: Simplify right side
    151,296x = 105,869,541,376
  5. Step 5: Solve for x
    x = 105,869,541,376/151,296
  6. Step 6: Final answer
    x = 699,751.09

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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.