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Finding the Third Proportional to 122,118 and 257,356

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Solution

The third proportional to 122,118 and 257,356 is: 542,361.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,118 : 257,356 = 257,356 : x
  2. Step 2: Convert to fraction form
    122,118/257,356 = 257,356/x
  3. Step 3: Cross multiply
    122,118x = 257,356 × 257,356
  4. Step 4: Simplify right side
    122,118x = 66,232,110,736
  5. Step 5: Solve for x
    x = 66,232,110,736/122,118
  6. Step 6: Final answer
    x = 542,361.57

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.