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Finding the Third Proportional to 253,765.50 and 368,655

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Solution

The third proportional to 253,765.50 and 368,655 is: 535,559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,765.50 : 368,655 = 368,655 : x
  2. Step 2: Convert to fraction form
    253,765.50/368,655 = 368,655/x
  3. Step 3: Cross multiply
    253,765.50x = 368,655 × 368,655
  4. Step 4: Simplify right side
    253,765.50x = 135,906,509,025
  5. Step 5: Solve for x
    x = 135,906,509,025/253,765.50
  6. Step 6: Final answer
    x = 535,559.44

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.