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Finding the Third Proportional to 230,826.50 and 354,577.75

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Solution

The third proportional to 230,826.50 and 354,577.75 is: 544,674.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,826.50 : 354,577.75 = 354,577.75 : x
  2. Step 2: Convert to fraction form
    230,826.50/354,577.75 = 354,577.75/x
  3. Step 3: Cross multiply
    230,826.50x = 354,577.75 × 354,577.75
  4. Step 4: Simplify right side
    230,826.50x = 125,725,380,795.06
  5. Step 5: Solve for x
    x = 125,725,380,795.06/230,826.50
  6. Step 6: Final answer
    x = 544,674.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.