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Finding the Third Proportional to 110,629.50 and 260,049

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Solution

The third proportional to 110,629.50 and 260,049 is: 611,278.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,629.50 : 260,049 = 260,049 : x
  2. Step 2: Convert to fraction form
    110,629.50/260,049 = 260,049/x
  3. Step 3: Cross multiply
    110,629.50x = 260,049 × 260,049
  4. Step 4: Simplify right side
    110,629.50x = 67,625,482,401
  5. Step 5: Solve for x
    x = 67,625,482,401/110,629.50
  6. Step 6: Final answer
    x = 611,278.93

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.