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Finding the Third Proportional to 130,961 and 285,911

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Solution

The third proportional to 130,961 and 285,911 is: 624,194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,961 : 285,911 = 285,911 : x
  2. Step 2: Convert to fraction form
    130,961/285,911 = 285,911/x
  3. Step 3: Cross multiply
    130,961x = 285,911 × 285,911
  4. Step 4: Simplify right side
    130,961x = 81,745,099,921
  5. Step 5: Solve for x
    x = 81,745,099,921/130,961
  6. Step 6: Final answer
    x = 624,194.23

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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.