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Finding the Third Proportional to 232,942 and 351,628

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Solution

The third proportional to 232,942 and 351,628 is: 530,785.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,942 : 351,628 = 351,628 : x
  2. Step 2: Convert to fraction form
    232,942/351,628 = 351,628/x
  3. Step 3: Cross multiply
    232,942x = 351,628 × 351,628
  4. Step 4: Simplify right side
    232,942x = 123,642,250,384
  5. Step 5: Solve for x
    x = 123,642,250,384/232,942
  6. Step 6: Final answer
    x = 530,785.56

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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.