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Finding the Third Proportional to 103,277 and 225,184

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Solution

The third proportional to 103,277 and 225,184 is: 490,988.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,277 : 225,184 = 225,184 : x
  2. Step 2: Convert to fraction form
    103,277/225,184 = 225,184/x
  3. Step 3: Cross multiply
    103,277x = 225,184 × 225,184
  4. Step 4: Simplify right side
    103,277x = 50,707,833,856
  5. Step 5: Solve for x
    x = 50,707,833,856/103,277
  6. Step 6: Final answer
    x = 490,988.64

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.