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Finding the Third Proportional to 106,743 and 232,278

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Solution

The third proportional to 106,743 and 232,278 is: 505,448.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,743 : 232,278 = 232,278 : x
  2. Step 2: Convert to fraction form
    106,743/232,278 = 232,278/x
  3. Step 3: Cross multiply
    106,743x = 232,278 × 232,278
  4. Step 4: Simplify right side
    106,743x = 53,953,069,284
  5. Step 5: Solve for x
    x = 53,953,069,284/106,743
  6. Step 6: Final answer
    x = 505,448.31

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.