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Finding the Third Proportional to 232,938 and 351,339

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Solution

The third proportional to 232,938 and 351,339 is: 529,922.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,938 : 351,339 = 351,339 : x
  2. Step 2: Convert to fraction form
    232,938/351,339 = 351,339/x
  3. Step 3: Cross multiply
    232,938x = 351,339 × 351,339
  4. Step 4: Simplify right side
    232,938x = 123,439,092,921
  5. Step 5: Solve for x
    x = 123,439,092,921/232,938
  6. Step 6: Final answer
    x = 529,922.52

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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.