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Finding the Third Proportional to 131,066 and 281,248

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Solution

The third proportional to 131,066 and 281,248 is: 603,516.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,066 : 281,248 = 281,248 : x
  2. Step 2: Convert to fraction form
    131,066/281,248 = 281,248/x
  3. Step 3: Cross multiply
    131,066x = 281,248 × 281,248
  4. Step 4: Simplify right side
    131,066x = 79,100,437,504
  5. Step 5: Solve for x
    x = 79,100,437,504/131,066
  6. Step 6: Final answer
    x = 603,516.07

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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.