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Finding the Third Proportional to 151,996 and 330,232

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Solution

The third proportional to 151,996 and 330,232 is: 717,473.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,996 : 330,232 = 330,232 : x
  2. Step 2: Convert to fraction form
    151,996/330,232 = 330,232/x
  3. Step 3: Cross multiply
    151,996x = 330,232 × 330,232
  4. Step 4: Simplify right side
    151,996x = 109,053,173,824
  5. Step 5: Solve for x
    x = 109,053,173,824/151,996
  6. Step 6: Final answer
    x = 717,473.97

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.