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Finding the Third Proportional to 151,214 and 329,644

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Solution

The third proportional to 151,214 and 329,644 is: 718,618.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,214 : 329,644 = 329,644 : x
  2. Step 2: Convert to fraction form
    151,214/329,644 = 329,644/x
  3. Step 3: Cross multiply
    151,214x = 329,644 × 329,644
  4. Step 4: Simplify right side
    151,214x = 108,665,166,736
  5. Step 5: Solve for x
    x = 108,665,166,736/151,214
  6. Step 6: Final answer
    x = 718,618.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.