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Finding the Third Proportional to 122,474 and 260,308

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Solution

The third proportional to 122,474 and 260,308 is: 553,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,474 : 260,308 = 260,308 : x
  2. Step 2: Convert to fraction form
    122,474/260,308 = 260,308/x
  3. Step 3: Cross multiply
    122,474x = 260,308 × 260,308
  4. Step 4: Simplify right side
    122,474x = 67,760,254,864
  5. Step 5: Solve for x
    x = 67,760,254,864/122,474
  6. Step 6: Final answer
    x = 553,262.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.