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Finding the Third Proportional to 131,253.75 and 281,097

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Solution

The third proportional to 131,253.75 and 281,097 is: 602,005.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,253.75 : 281,097 = 281,097 : x
  2. Step 2: Convert to fraction form
    131,253.75/281,097 = 281,097/x
  3. Step 3: Cross multiply
    131,253.75x = 281,097 × 281,097
  4. Step 4: Simplify right side
    131,253.75x = 79,015,523,409
  5. Step 5: Solve for x
    x = 79,015,523,409/131,253.75
  6. Step 6: Final answer
    x = 602,005.84

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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.