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Finding the Third Proportional to 151,206 and 325,524

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Solution

The third proportional to 151,206 and 325,524 is: 700,804.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,206 : 325,524 = 325,524 : x
  2. Step 2: Convert to fraction form
    151,206/325,524 = 325,524/x
  3. Step 3: Cross multiply
    151,206x = 325,524 × 325,524
  4. Step 4: Simplify right side
    151,206x = 105,965,874,576
  5. Step 5: Solve for x
    x = 105,965,874,576/151,206
  6. Step 6: Final answer
    x = 700,804.69

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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.