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Finding the Third Proportional to 151,714 and 330,170

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Solution

The third proportional to 151,714 and 330,170 is: 718,537.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,714 : 330,170 = 330,170 : x
  2. Step 2: Convert to fraction form
    151,714/330,170 = 330,170/x
  3. Step 3: Cross multiply
    151,714x = 330,170 × 330,170
  4. Step 4: Simplify right side
    151,714x = 109,012,228,900
  5. Step 5: Solve for x
    x = 109,012,228,900/151,714
  6. Step 6: Final answer
    x = 718,537.70

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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.