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Finding the Third Proportional to 231,714 and 340,053

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Solution

The third proportional to 231,714 and 340,053 is: 499,046.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,714 : 340,053 = 340,053 : x
  2. Step 2: Convert to fraction form
    231,714/340,053 = 340,053/x
  3. Step 3: Cross multiply
    231,714x = 340,053 × 340,053
  4. Step 4: Simplify right side
    231,714x = 115,636,042,809
  5. Step 5: Solve for x
    x = 115,636,042,809/231,714
  6. Step 6: Final answer
    x = 499,046.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.