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Finding the Third Proportional to 131,258 and 281,188

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Solution

The third proportional to 131,258 and 281,188 is: 602,376.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,258 : 281,188 = 281,188 : x
  2. Step 2: Convert to fraction form
    131,258/281,188 = 281,188/x
  3. Step 3: Cross multiply
    131,258x = 281,188 × 281,188
  4. Step 4: Simplify right side
    131,258x = 79,066,691,344
  5. Step 5: Solve for x
    x = 79,066,691,344/131,258
  6. Step 6: Final answer
    x = 602,376.17

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.