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Finding the Third Proportional to 151,305 and 325,704

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Solution

The third proportional to 151,305 and 325,704 is: 701,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,305 : 325,704 = 325,704 : x
  2. Step 2: Convert to fraction form
    151,305/325,704 = 325,704/x
  3. Step 3: Cross multiply
    151,305x = 325,704 × 325,704
  4. Step 4: Simplify right side
    151,305x = 106,083,095,616
  5. Step 5: Solve for x
    x = 106,083,095,616/151,305
  6. Step 6: Final answer
    x = 701,120.89

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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.