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Finding the Third Proportional to 151,384 and 325,864

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Solution

The third proportional to 151,384 and 325,864 is: 701,443.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,384 : 325,864 = 325,864 : x
  2. Step 2: Convert to fraction form
    151,384/325,864 = 325,864/x
  3. Step 3: Cross multiply
    151,384x = 325,864 × 325,864
  4. Step 4: Simplify right side
    151,384x = 106,187,346,496
  5. Step 5: Solve for x
    x = 106,187,346,496/151,384
  6. Step 6: Final answer
    x = 701,443.66

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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.