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Finding the Third Proportional to 164,056.50 and 234,600.75

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Solution

The third proportional to 164,056.50 and 234,600.75 is: 335,479.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,056.50 : 234,600.75 = 234,600.75 : x
  2. Step 2: Convert to fraction form
    164,056.50/234,600.75 = 234,600.75/x
  3. Step 3: Cross multiply
    164,056.50x = 234,600.75 × 234,600.75
  4. Step 4: Simplify right side
    164,056.50x = 55,037,511,900.56
  5. Step 5: Solve for x
    x = 55,037,511,900.56/164,056.50
  6. Step 6: Final answer
    x = 335,479.01

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.