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Finding the Third Proportional to 232,791 and 351,132

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Solution

The third proportional to 232,791 and 351,132 is: 529,632.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,791 : 351,132 = 351,132 : x
  2. Step 2: Convert to fraction form
    232,791/351,132 = 351,132/x
  3. Step 3: Cross multiply
    232,791x = 351,132 × 351,132
  4. Step 4: Simplify right side
    232,791x = 123,293,681,424
  5. Step 5: Solve for x
    x = 123,293,681,424/232,791
  6. Step 6: Final answer
    x = 529,632.51

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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.