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Finding the Third Proportional to 232,695 and 350,982

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Solution

The third proportional to 232,695 and 350,982 is: 529,398.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,695 : 350,982 = 350,982 : x
  2. Step 2: Convert to fraction form
    232,695/350,982 = 350,982/x
  3. Step 3: Cross multiply
    232,695x = 350,982 × 350,982
  4. Step 4: Simplify right side
    232,695x = 123,188,364,324
  5. Step 5: Solve for x
    x = 123,188,364,324/232,695
  6. Step 6: Final answer
    x = 529,398.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.