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Finding the Third Proportional to 232,734.75 and 355,871.25

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Solution

The third proportional to 232,734.75 and 355,871.25 is: 544,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,734.75 : 355,871.25 = 355,871.25 : x
  2. Step 2: Convert to fraction form
    232,734.75/355,871.25 = 355,871.25/x
  3. Step 3: Cross multiply
    232,734.75x = 355,871.25 × 355,871.25
  4. Step 4: Simplify right side
    232,734.75x = 126,644,346,576.56
  5. Step 5: Solve for x
    x = 126,644,346,576.56/232,734.75
  6. Step 6: Final answer
    x = 544,157.44

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.