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Finding the Third Proportional to 122,400 and 259,380

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Solution

The third proportional to 122,400 and 259,380 is: 549,656.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,400 : 259,380 = 259,380 : x
  2. Step 2: Convert to fraction form
    122,400/259,380 = 259,380/x
  3. Step 3: Cross multiply
    122,400x = 259,380 × 259,380
  4. Step 4: Simplify right side
    122,400x = 67,277,984,400
  5. Step 5: Solve for x
    x = 67,277,984,400/122,400
  6. Step 6: Final answer
    x = 549,656.74

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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.