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Finding the Third Proportional to 232,836.75 and 351,076.50

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Solution

The third proportional to 232,836.75 and 351,076.50 is: 529,361.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,836.75 : 351,076.50 = 351,076.50 : x
  2. Step 2: Convert to fraction form
    232,836.75/351,076.50 = 351,076.50/x
  3. Step 3: Cross multiply
    232,836.75x = 351,076.50 × 351,076.50
  4. Step 4: Simplify right side
    232,836.75x = 123,254,708,852.25
  5. Step 5: Solve for x
    x = 123,254,708,852.25/232,836.75
  6. Step 6: Final answer
    x = 529,361.06

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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.