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Finding the Third Proportional to 151,017 and 325,177

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Solution

The third proportional to 151,017 and 325,177 is: 700,186.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,017 : 325,177 = 325,177 : x
  2. Step 2: Convert to fraction form
    151,017/325,177 = 325,177/x
  3. Step 3: Cross multiply
    151,017x = 325,177 × 325,177
  4. Step 4: Simplify right side
    151,017x = 105,740,081,329
  5. Step 5: Solve for x
    x = 105,740,081,329/151,017
  6. Step 6: Final answer
    x = 700,186.61

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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.