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Finding the Third Proportional to 151,694 and 326,644

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Solution

The third proportional to 151,694 and 326,644 is: 703,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,694 : 326,644 = 326,644 : x
  2. Step 2: Convert to fraction form
    151,694/326,644 = 326,644/x
  3. Step 3: Cross multiply
    151,694x = 326,644 × 326,644
  4. Step 4: Simplify right side
    151,694x = 106,696,302,736
  5. Step 5: Solve for x
    x = 106,696,302,736/151,694
  6. Step 6: Final answer
    x = 703,365.35

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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.