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Finding the Third Proportional to 122,834.81 and 260,433.56

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Solution

The third proportional to 122,834.81 and 260,433.56 is: 552,169.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,834.81 : 260,433.56 = 260,433.56 : x
  2. Step 2: Convert to fraction form
    122,834.81/260,433.56 = 260,433.56/x
  3. Step 3: Cross multiply
    122,834.81x = 260,433.56 × 260,433.56
  4. Step 4: Simplify right side
    122,834.81x = 67,825,640,476.44
  5. Step 5: Solve for x
    x = 67,825,640,476.44/122,834.81
  6. Step 6: Final answer
    x = 552,169.53

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.