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Finding the Third Proportional to 123,462 and 266,652

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Solution

The third proportional to 123,462 and 266,652 is: 575,912.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,462 : 266,652 = 266,652 : x
  2. Step 2: Convert to fraction form
    123,462/266,652 = 266,652/x
  3. Step 3: Cross multiply
    123,462x = 266,652 × 266,652
  4. Step 4: Simplify right side
    123,462x = 71,103,289,104
  5. Step 5: Solve for x
    x = 71,103,289,104/123,462
  6. Step 6: Final answer
    x = 575,912.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.