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Finding the Third Proportional to 123,660 and 264,843

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Solution

The third proportional to 123,660 and 264,843 is: 567,215.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,660 : 264,843 = 264,843 : x
  2. Step 2: Convert to fraction form
    123,660/264,843 = 264,843/x
  3. Step 3: Cross multiply
    123,660x = 264,843 × 264,843
  4. Step 4: Simplify right side
    123,660x = 70,141,814,649
  5. Step 5: Solve for x
    x = 70,141,814,649/123,660
  6. Step 6: Final answer
    x = 567,215.06

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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.