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Finding the Third Proportional to 122,697 and 260,226

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Solution

The third proportional to 122,697 and 260,226 is: 551,908.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,697 : 260,226 = 260,226 : x
  2. Step 2: Convert to fraction form
    122,697/260,226 = 260,226/x
  3. Step 3: Cross multiply
    122,697x = 260,226 × 260,226
  4. Step 4: Simplify right side
    122,697x = 67,717,571,076
  5. Step 5: Solve for x
    x = 67,717,571,076/122,697
  6. Step 6: Final answer
    x = 551,908.94

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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.