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Finding the Third Proportional to 151,764 and 325,992

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Solution

The third proportional to 151,764 and 325,992 is: 700,237.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,764 : 325,992 = 325,992 : x
  2. Step 2: Convert to fraction form
    151,764/325,992 = 325,992/x
  3. Step 3: Cross multiply
    151,764x = 325,992 × 325,992
  4. Step 4: Simplify right side
    151,764x = 106,270,784,064
  5. Step 5: Solve for x
    x = 106,270,784,064/151,764
  6. Step 6: Final answer
    x = 700,237.11

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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.