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Finding the Third Proportional to 232,089.75 and 313,142.25

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Solution

The third proportional to 232,089.75 and 313,142.25 is: 422,500.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,089.75 : 313,142.25 = 313,142.25 : x
  2. Step 2: Convert to fraction form
    232,089.75/313,142.25 = 313,142.25/x
  3. Step 3: Cross multiply
    232,089.75x = 313,142.25 × 313,142.25
  4. Step 4: Simplify right side
    232,089.75x = 98,058,068,735.06
  5. Step 5: Solve for x
    x = 98,058,068,735.06/232,089.75
  6. Step 6: Final answer
    x = 422,500.64

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.