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Finding the Third Proportional to 135,044.63 and 290,105.25

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Solution

The third proportional to 135,044.63 and 290,105.25 is: 623,209.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,044.63 : 290,105.25 = 290,105.25 : x
  2. Step 2: Convert to fraction form
    135,044.63/290,105.25 = 290,105.25/x
  3. Step 3: Cross multiply
    135,044.63x = 290,105.25 × 290,105.25
  4. Step 4: Simplify right side
    135,044.63x = 84,161,056,077.56
  5. Step 5: Solve for x
    x = 84,161,056,077.56/135,044.63
  6. Step 6: Final answer
    x = 623,209.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.