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Finding the Third Proportional to 120,733.03 and 262,208.39

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Solution

The third proportional to 120,733.03 and 262,208.39 is: 569,465.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,733.03 : 262,208.39 = 262,208.39 : x
  2. Step 2: Convert to fraction form
    120,733.03/262,208.39 = 262,208.39/x
  3. Step 3: Cross multiply
    120,733.03x = 262,208.39 × 262,208.39
  4. Step 4: Simplify right side
    120,733.03x = 68,753,240,114.15
  5. Step 5: Solve for x
    x = 68,753,240,114.15/120,733.03
  6. Step 6: Final answer
    x = 569,465.04

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.