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Finding the Third Proportional to 122,570 and 256,374

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Solution

The third proportional to 122,570 and 256,374 is: 536,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,570 : 256,374 = 256,374 : x
  2. Step 2: Convert to fraction form
    122,570/256,374 = 256,374/x
  3. Step 3: Cross multiply
    122,570x = 256,374 × 256,374
  4. Step 4: Simplify right side
    122,570x = 65,727,627,876
  5. Step 5: Solve for x
    x = 65,727,627,876/122,570
  6. Step 6: Final answer
    x = 536,245.64

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.