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Finding the Third Proportional to 133,546 and 293,972

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Solution

The third proportional to 133,546 and 293,972 is: 647,114.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,546 : 293,972 = 293,972 : x
  2. Step 2: Convert to fraction form
    133,546/293,972 = 293,972/x
  3. Step 3: Cross multiply
    133,546x = 293,972 × 293,972
  4. Step 4: Simplify right side
    133,546x = 86,419,536,784
  5. Step 5: Solve for x
    x = 86,419,536,784/133,546
  6. Step 6: Final answer
    x = 647,114.38

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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.