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Finding the Third Proportional to 151,869.94 and 326,728.69

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Solution

The third proportional to 151,869.94 and 326,728.69 is: 702,914.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,869.94 : 326,728.69 = 326,728.69 : x
  2. Step 2: Convert to fraction form
    151,869.94/326,728.69 = 326,728.69/x
  3. Step 3: Cross multiply
    151,869.94x = 326,728.69 × 326,728.69
  4. Step 4: Simplify right side
    151,869.94x = 106,751,635,235.47
  5. Step 5: Solve for x
    x = 106,751,635,235.47/151,869.94
  6. Step 6: Final answer
    x = 702,914.86

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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.