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Finding the Third Proportional to 120,715.00 and 260,113.46

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Solution

The third proportional to 120,715.00 and 260,113.46 is: 560,485.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,715.00 : 260,113.46 = 260,113.46 : x
  2. Step 2: Convert to fraction form
    120,715.00/260,113.46 = 260,113.46/x
  3. Step 3: Cross multiply
    120,715.00x = 260,113.46 × 260,113.46
  4. Step 4: Simplify right side
    120,715.00x = 67,659,014,593.02
  5. Step 5: Solve for x
    x = 67,659,014,593.02/120,715.00
  6. Step 6: Final answer
    x = 560,485.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.