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Finding the Third Proportional to 330,163.50 and 442,242

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Solution

The third proportional to 330,163.50 and 442,242 is: 592,367.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    330,163.50 : 442,242 = 442,242 : x
  2. Step 2: Convert to fraction form
    330,163.50/442,242 = 442,242/x
  3. Step 3: Cross multiply
    330,163.50x = 442,242 × 442,242
  4. Step 4: Simplify right side
    330,163.50x = 195,577,986,564
  5. Step 5: Solve for x
    x = 195,577,986,564/330,163.50
  6. Step 6: Final answer
    x = 592,367.07

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.