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Finding the Third Proportional to 122,898 and 260,196

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Solution

The third proportional to 122,898 and 260,196 is: 550,879.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,898 : 260,196 = 260,196 : x
  2. Step 2: Convert to fraction form
    122,898/260,196 = 260,196/x
  3. Step 3: Cross multiply
    122,898x = 260,196 × 260,196
  4. Step 4: Simplify right side
    122,898x = 67,701,958,416
  5. Step 5: Solve for x
    x = 67,701,958,416/122,898
  6. Step 6: Final answer
    x = 550,879.25

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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.