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Finding the Third Proportional to 122,598 and 262,692

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Solution

The third proportional to 122,598 and 262,692 is: 562,872.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,598 : 262,692 = 262,692 : x
  2. Step 2: Convert to fraction form
    122,598/262,692 = 262,692/x
  3. Step 3: Cross multiply
    122,598x = 262,692 × 262,692
  4. Step 4: Simplify right side
    122,598x = 69,007,086,864
  5. Step 5: Solve for x
    x = 69,007,086,864/122,598
  6. Step 6: Final answer
    x = 562,872.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.