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Finding the Third Proportional to 107,425 and 236,301

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Solution

The third proportional to 107,425 and 236,301 is: 519,787.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,425 : 236,301 = 236,301 : x
  2. Step 2: Convert to fraction form
    107,425/236,301 = 236,301/x
  3. Step 3: Cross multiply
    107,425x = 236,301 × 236,301
  4. Step 4: Simplify right side
    107,425x = 55,838,162,601
  5. Step 5: Solve for x
    x = 55,838,162,601/107,425
  6. Step 6: Final answer
    x = 519,787.41

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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.