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Finding the Third Proportional to 106,302 and 233,338

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Solution

The third proportional to 106,302 and 233,338 is: 512,188.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,302 : 233,338 = 233,338 : x
  2. Step 2: Convert to fraction form
    106,302/233,338 = 233,338/x
  3. Step 3: Cross multiply
    106,302x = 233,338 × 233,338
  4. Step 4: Simplify right side
    106,302x = 54,446,622,244
  5. Step 5: Solve for x
    x = 54,446,622,244/106,302
  6. Step 6: Final answer
    x = 512,188.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.