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Finding the Third Proportional to 131,096 and 200,465

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Solution

The third proportional to 131,096 and 200,465 is: 306,540.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,096 : 200,465 = 200,465 : x
  2. Step 2: Convert to fraction form
    131,096/200,465 = 200,465/x
  3. Step 3: Cross multiply
    131,096x = 200,465 × 200,465
  4. Step 4: Simplify right side
    131,096x = 40,186,216,225
  5. Step 5: Solve for x
    x = 40,186,216,225/131,096
  6. Step 6: Final answer
    x = 306,540.37

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.