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Finding the Third Proportional to 131,004 and 280,683

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Solution

The third proportional to 131,004 and 280,683 is: 601,378.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,004 : 280,683 = 280,683 : x
  2. Step 2: Convert to fraction form
    131,004/280,683 = 280,683/x
  3. Step 3: Cross multiply
    131,004x = 280,683 × 280,683
  4. Step 4: Simplify right side
    131,004x = 78,782,946,489
  5. Step 5: Solve for x
    x = 78,782,946,489/131,004
  6. Step 6: Final answer
    x = 601,378.18

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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.