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Finding the Third Proportional to 122,697 and 259,540.88

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Solution

The third proportional to 122,697 and 259,540.88 is: 549,006.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,697 : 259,540.88 = 259,540.88 : x
  2. Step 2: Convert to fraction form
    122,697/259,540.88 = 259,540.88/x
  3. Step 3: Cross multiply
    122,697x = 259,540.88 × 259,540.88
  4. Step 4: Simplify right side
    122,697x = 67,361,465,795.77
  5. Step 5: Solve for x
    x = 67,361,465,795.77/122,697
  6. Step 6: Final answer
    x = 549,006.62

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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.