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Finding the Third Proportional to 120,069 and 280,489.50

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Solution

The third proportional to 120,069 and 280,489.50 is: 655,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,069 : 280,489.50 = 280,489.50 : x
  2. Step 2: Convert to fraction form
    120,069/280,489.50 = 280,489.50/x
  3. Step 3: Cross multiply
    120,069x = 280,489.50 × 280,489.50
  4. Step 4: Simplify right side
    120,069x = 78,674,359,610.25
  5. Step 5: Solve for x
    x = 78,674,359,610.25/120,069
  6. Step 6: Final answer
    x = 655,242.90

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.