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Finding the Third Proportional to 151,383 and 356,851

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Solution

The third proportional to 151,383 and 356,851 is: 841,195.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,383 : 356,851 = 356,851 : x
  2. Step 2: Convert to fraction form
    151,383/356,851 = 356,851/x
  3. Step 3: Cross multiply
    151,383x = 356,851 × 356,851
  4. Step 4: Simplify right side
    151,383x = 127,342,636,201
  5. Step 5: Solve for x
    x = 127,342,636,201/151,383
  6. Step 6: Final answer
    x = 841,195.09

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.