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Finding the Third Proportional to 133,938 and 294,660

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Solution

The third proportional to 133,938 and 294,660 is: 648,244.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,938 : 294,660 = 294,660 : x
  2. Step 2: Convert to fraction form
    133,938/294,660 = 294,660/x
  3. Step 3: Cross multiply
    133,938x = 294,660 × 294,660
  4. Step 4: Simplify right side
    133,938x = 86,824,515,600
  5. Step 5: Solve for x
    x = 86,824,515,600/133,938
  6. Step 6: Final answer
    x = 648,244.08

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