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Finding the Third Proportional to 122,704 and 260,239

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Solution

The third proportional to 122,704 and 260,239 is: 551,932.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,704 : 260,239 = 260,239 : x
  2. Step 2: Convert to fraction form
    122,704/260,239 = 260,239/x
  3. Step 3: Cross multiply
    122,704x = 260,239 × 260,239
  4. Step 4: Simplify right side
    122,704x = 67,724,337,121
  5. Step 5: Solve for x
    x = 67,724,337,121/122,704
  6. Step 6: Final answer
    x = 551,932.59

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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.