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Finding the Third Proportional to 133,926 and 294,636

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Solution

The third proportional to 133,926 and 294,636 is: 648,196.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,926 : 294,636 = 294,636 : x
  2. Step 2: Convert to fraction form
    133,926/294,636 = 294,636/x
  3. Step 3: Cross multiply
    133,926x = 294,636 × 294,636
  4. Step 4: Simplify right side
    133,926x = 86,810,372,496
  5. Step 5: Solve for x
    x = 86,810,372,496/133,926
  6. Step 6: Final answer
    x = 648,196.56

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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.