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Finding the Third Proportional to 106,906 and 233,669

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Solution

The third proportional to 106,906 and 233,669 is: 510,740.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,906 : 233,669 = 233,669 : x
  2. Step 2: Convert to fraction form
    106,906/233,669 = 233,669/x
  3. Step 3: Cross multiply
    106,906x = 233,669 × 233,669
  4. Step 4: Simplify right side
    106,906x = 54,601,201,561
  5. Step 5: Solve for x
    x = 54,601,201,561/106,906
  6. Step 6: Final answer
    x = 510,740.29

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.