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Finding the Third Proportional to 133,722 and 293,796

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Solution

The third proportional to 133,722 and 293,796 is: 645,489.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,722 : 293,796 = 293,796 : x
  2. Step 2: Convert to fraction form
    133,722/293,796 = 293,796/x
  3. Step 3: Cross multiply
    133,722x = 293,796 × 293,796
  4. Step 4: Simplify right side
    133,722x = 86,316,089,616
  5. Step 5: Solve for x
    x = 86,316,089,616/133,722
  6. Step 6: Final answer
    x = 645,489.07

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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.