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Finding the Third Proportional to 123,333 and 264,163

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Solution

The third proportional to 123,333 and 264,163 is: 565,802.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,333 : 264,163 = 264,163 : x
  2. Step 2: Convert to fraction form
    123,333/264,163 = 264,163/x
  3. Step 3: Cross multiply
    123,333x = 264,163 × 264,163
  4. Step 4: Simplify right side
    123,333x = 69,782,090,569
  5. Step 5: Solve for x
    x = 69,782,090,569/123,333
  6. Step 6: Final answer
    x = 565,802.26

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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.