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Finding the Third Proportional to 122,834 and 260,431

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Solution

The third proportional to 122,834 and 260,431 is: 552,162.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,834 : 260,431 = 260,431 : x
  2. Step 2: Convert to fraction form
    122,834/260,431 = 260,431/x
  3. Step 3: Cross multiply
    122,834x = 260,431 × 260,431
  4. Step 4: Simplify right side
    122,834x = 67,824,305,761
  5. Step 5: Solve for x
    x = 67,824,305,761/122,834
  6. Step 6: Final answer
    x = 552,162.31

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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.