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Finding the Third Proportional to 232,906 and 351,291

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Solution

The third proportional to 232,906 and 351,291 is: 529,850.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,906 : 351,291 = 351,291 : x
  2. Step 2: Convert to fraction form
    232,906/351,291 = 351,291/x
  3. Step 3: Cross multiply
    232,906x = 351,291 × 351,291
  4. Step 4: Simplify right side
    232,906x = 123,405,366,681
  5. Step 5: Solve for x
    x = 123,405,366,681/232,906
  6. Step 6: Final answer
    x = 529,850.53

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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.